{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "pdf-title"
    ]
   },
   "source": [
    "# Generative Adversarial Networks (GANs)\n",
    "\n",
    "So far in CS231N, all the applications of neural networks that we have explored have been **discriminative models** that take an input and are trained to produce a labeled output. This has ranged from straightforward classification of image categories to sentence generation (which was still phrased as a classification problem, our labels were in vocabulary space and we’d learned a recurrence to capture multi-word labels). In this notebook, we will expand our repetoire, and build **generative models** using neural networks. Specifically, we will learn how to build models which generate novel images that resemble a set of training images.\n",
    "\n",
    "### What is a GAN?\n",
    "\n",
    "In 2014, [Goodfellow et al.](https://arxiv.org/abs/1406.2661) presented a method for training generative models called Generative Adversarial Networks (GANs for short). In a GAN, we build two different neural networks. Our first network is a traditional classification network, called the **discriminator**. We will train the discriminator to take images, and classify them as being real (belonging to the training set) or fake (not present in the training set). Our other network, called the **generator**, will take random noise as input and transform it using a neural network to produce images. The goal of the generator is to fool the discriminator into thinking the images it produced are real.\n",
    "\n",
    "We can think of this back and forth process of the generator ($G$) trying to fool the discriminator ($D$), and the discriminator trying to correctly classify real vs. fake as a minimax game:\n",
    "$$\\underset{G}{\\text{minimize}}\\; \\underset{D}{\\text{maximize}}\\; \\mathbb{E}_{x \\sim p_\\text{data}}\\left[\\log D(x)\\right] + \\mathbb{E}_{z \\sim p(z)}\\left[\\log \\left(1-D(G(z))\\right)\\right]$$\n",
    "where $z \\sim p(z)$ are the random noise samples, $G(z)$ are the generated images using the neural network generator $G$, and $D$ is the output of the discriminator, specifying the probability of an input being real. In [Goodfellow et al.](https://arxiv.org/abs/1406.2661), they analyze this minimax game and show how it relates to minimizing the Jensen-Shannon divergence between the training data distribution and the generated samples from $G$.\n",
    "\n",
    "To optimize this minimax game, we will aternate between taking gradient *descent* steps on the objective for $G$, and gradient *ascent* steps on the objective for $D$:\n",
    "1. update the **generator** ($G$) to minimize the probability of the __discriminator making the correct choice__. \n",
    "2. update the **discriminator** ($D$) to maximize the probability of the __discriminator making the correct choice__.\n",
    "\n",
    "While these updates are useful for analysis, they do not perform well in practice. Instead, we will use a different objective when we update the generator: maximize the probability of the **discriminator making the incorrect choice**. This small change helps to allevaiate problems with the generator gradient vanishing when the discriminator is confident. This is the standard update used in most GAN papers, and was used in the original paper from [Goodfellow et al.](https://arxiv.org/abs/1406.2661). \n",
    "\n",
    "In this assignment, we will alternate the following updates:\n",
    "1. Update the generator ($G$) to maximize the probability of the discriminator making the incorrect choice on generated data:\n",
    "$$\\underset{G}{\\text{maximize}}\\;  \\mathbb{E}_{z \\sim p(z)}\\left[\\log D(G(z))\\right]$$\n",
    "2. Update the discriminator ($D$), to maximize the probability of the discriminator making the correct choice on real and generated data:\n",
    "$$\\underset{D}{\\text{maximize}}\\; \\mathbb{E}_{x \\sim p_\\text{data}}\\left[\\log D(x)\\right] + \\mathbb{E}_{z \\sim p(z)}\\left[\\log \\left(1-D(G(z))\\right)\\right]$$\n",
    "\n",
    "### What else is there?\n",
    "Since 2014, GANs have exploded into a huge research area, with massive [workshops](https://sites.google.com/site/nips2016adversarial/), and [hundreds of new papers](https://github.com/hindupuravinash/the-gan-zoo). Compared to other approaches for generative models, they often produce the highest quality samples but are some of the most difficult and finicky models to train (see [this github repo](https://github.com/soumith/ganhacks) that contains a set of 17 hacks that are useful for getting models working). Improving the stabiilty and robustness of GAN training is an open research question, with new papers coming out every day! For a more recent tutorial on GANs, see [here](https://arxiv.org/abs/1701.00160). There is also some even more recent exciting work that changes the objective function to Wasserstein distance and yields much more stable results across model architectures: [WGAN](https://arxiv.org/abs/1701.07875), [WGAN-GP](https://arxiv.org/abs/1704.00028).\n",
    "\n",
    "\n",
    "GANs are not the only way to train a generative model! For other approaches to generative modeling check out the [deep generative model chapter](http://www.deeplearningbook.org/contents/generative_models.html) of the Deep Learning [book](http://www.deeplearningbook.org). Another popular way of training neural networks as generative models is Variational Autoencoders (co-discovered [here](https://arxiv.org/abs/1312.6114) and [here](https://arxiv.org/abs/1401.4082)). Variatonal autoencoders combine neural networks with variationl inference to train deep generative models. These models tend to be far more stable and easier to train but currently don't produce samples that are as pretty as GANs.\n",
    "\n",
    "Here's an example of what your outputs from the 3 different models you're going to train should look like... note that GANs are sometimes finicky, so your outputs might not look exactly like this... this is just meant to be a *rough* guideline of the kind of quality you can expect:\n",
    "\n",
    "![caption](gan_outputs_pytorch.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "pdf-ignore"
    ]
   },
   "source": [
    "## Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "tags": [
     "pdf-ignore"
    ]
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "from torch.nn import init\n",
    "import torchvision\n",
    "import torchvision.transforms as T\n",
    "import torch.optim as optim\n",
    "from torch.utils.data import DataLoader\n",
    "from torch.utils.data import sampler\n",
    "import torchvision.datasets as dset\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.gridspec as gridspec\n",
    "\n",
    "%matplotlib inline\n",
    "plt.rcParams['figure.figsize'] = (10.0, 8.0) # set default size of plots\n",
    "plt.rcParams['image.interpolation'] = 'nearest'\n",
    "plt.rcParams['image.cmap'] = 'gray'\n",
    "\n",
    "# for auto-reloading external modules\n",
    "# see http://stackoverflow.com/questions/1907993/autoreload-of-modules-in-ipython\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "def show_images(images):\n",
    "    images = np.reshape(images, [images.shape[0], -1])  # images reshape to (batch_size, D)\n",
    "    sqrtn = int(np.ceil(np.sqrt(images.shape[0])))\n",
    "    sqrtimg = int(np.ceil(np.sqrt(images.shape[1])))\n",
    "\n",
    "    fig = plt.figure(figsize=(sqrtn, sqrtn))\n",
    "    gs = gridspec.GridSpec(sqrtn, sqrtn)\n",
    "    gs.update(wspace=0.05, hspace=0.05)\n",
    "\n",
    "    for i, img in enumerate(images):\n",
    "        ax = plt.subplot(gs[i])\n",
    "        plt.axis('off')\n",
    "        ax.set_xticklabels([])\n",
    "        ax.set_yticklabels([])\n",
    "        ax.set_aspect('equal')\n",
    "        plt.imshow(img.reshape([sqrtimg,sqrtimg]))\n",
    "    return \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Colab users only\n",
    "%cd drive/My\\ Drive/$FOLDERNAME/\n",
    "%cp -r gan-checks-tf.npz /content/\n",
    "%cd /content/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from cs231n.gan_pytorch import preprocess_img, deprocess_img, rel_error, count_params, ChunkSampler\n",
    "\n",
    "answers = dict(np.load('gan-checks-tf.npz'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "pdf-ignore"
    ]
   },
   "source": [
    "## Dataset\n",
    " GANs are notoriously finicky with hyperparameters, and also require many training epochs. In order to make this assignment approachable without a GPU, we will be working on the MNIST dataset, which is 60,000 training and 10,000 test images. Each picture contains a centered image of white digit on black background (0 through 9). This was one of the first datasets used to train convolutional neural networks and it is fairly easy -- a standard CNN model can easily exceed 99% accuracy. \n",
    "\n",
    "To simplify our code here, we will use the PyTorch MNIST wrapper, which downloads and loads the MNIST dataset. See the [documentation](https://github.com/pytorch/vision/blob/master/torchvision/datasets/mnist.py) for more information about the interface. The default parameters will take 5,000 of the training examples and place them into a validation dataset. The data will be saved into a folder called `MNIST_data`. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": false,
    "tags": [
     "pdf-ignore"
    ]
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\env\\Anaconda3\\envs\\cs231n\\lib\\site-packages\\torchvision\\datasets\\mnist.py:498: UserWarning: The given NumPy array is not writeable, and PyTorch does not support non-writeable tensors. This means you can write to the underlying (supposedly non-writeable) NumPy array using the tensor. You may want to copy the array to protect its data or make it writeable before converting it to a tensor. This type of warning will be suppressed for the rest of this program. (Triggered internally at  ..\\torch\\csrc\\utils\\tensor_numpy.cpp:180.)\n",
      "  return torch.from_numpy(parsed.astype(m[2], copy=False)).view(*s)\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x864 with 128 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "NUM_TRAIN = 50000\n",
    "NUM_VAL = 5000\n",
    "\n",
    "NOISE_DIM = 96\n",
    "batch_size = 128\n",
    "\n",
    "mnist_train = dset.MNIST('./cs231n/datasets/MNIST_data', train=True, download=True,\n",
    "                           transform=T.ToTensor())\n",
    "loader_train = DataLoader(mnist_train, batch_size=batch_size,\n",
    "                          sampler=ChunkSampler(NUM_TRAIN, 0))\n",
    "\n",
    "mnist_val = dset.MNIST('./cs231n/datasets/MNIST_data', train=True, download=True,\n",
    "                           transform=T.ToTensor())\n",
    "loader_val = DataLoader(mnist_val, batch_size=batch_size,\n",
    "                        sampler=ChunkSampler(NUM_VAL, NUM_TRAIN))\n",
    "\n",
    "\n",
    "imgs = loader_train.__iter__().next()[0].view(batch_size, 784).numpy().squeeze()\n",
    "show_images(imgs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Random Noise\n",
    "Generate uniform noise from -1 to 1 with shape `[batch_size, dim]`.\n",
    "\n",
    "Implement `sample_noise` in `cs231n/gan_pytorch.py`.\n",
    "\n",
    "Hint: use `torch.rand`.\n",
    "\n",
    "Make sure noise is the correct shape and type:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "id": "sample_noise_test"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "All tests passed!\n"
     ]
    }
   ],
   "source": [
    "from cs231n.gan_pytorch import sample_noise\n",
    "\n",
    "def test_sample_noise(): \n",
    "    batch_size = 3\n",
    "    dim = 4\n",
    "    torch.manual_seed(231)\n",
    "    z = sample_noise(batch_size, dim)\n",
    "    np_z = z.cpu().numpy()\n",
    "    assert np_z.shape == (batch_size, dim)\n",
    "    assert torch.is_tensor(z)\n",
    "    assert np.all(np_z >= -1.0) and np.all(np_z <= 1.0)\n",
    "    assert np.any(np_z < 0.0) and np.any(np_z > 0.0)\n",
    "    print('All tests passed!')\n",
    "    \n",
    "test_sample_noise()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "pdf-ignore"
    ]
   },
   "source": [
    "## Flatten\n",
    "\n",
    "Recall our Flatten operation from previous notebooks... this time we also provide an Unflatten, which you might want to use when implementing the convolutional generator. We also provide a weight initializer (and call it for you) that uses Xavier initialization instead of PyTorch's uniform default."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "tags": [
     "pdf-ignore"
    ]
   },
   "outputs": [],
   "source": [
    "from cs231n.gan_pytorch import Flatten, Unflatten, initialize_weights"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "pdf-ignore"
    ]
   },
   "source": [
    "## CPU / GPU\n",
    "By default all code will run on CPU. GPUs are not needed for this assignment, but will help you to train your models faster. If you do want to run the code on a GPU, then change the `dtype` variable in the following cell.\n",
    "**If you are a Colab user, it is recommeded to change colab runtime to GPU.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "tags": [
     "pdf-ignore"
    ]
   },
   "outputs": [],
   "source": [
    "dtype = torch.FloatTensor\n",
    "#dtype = torch.cuda.FloatTensor ## UNCOMMENT THIS LINE IF YOU'RE ON A GPU!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Discriminator\n",
    "Our first step is to build a discriminator. Fill in the architecture as part of the `nn.Sequential` constructor in the function below. All fully connected layers should include bias terms. The architecture is:\n",
    " * Fully connected layer with input size 784 and output size 256\n",
    " * LeakyReLU with alpha 0.01\n",
    " * Fully connected layer with input_size 256 and output size 256\n",
    " * LeakyReLU with alpha 0.01\n",
    " * Fully connected layer with input size 256 and output size 1\n",
    " \n",
    "Recall that the Leaky ReLU nonlinearity computes $f(x) = \\max(\\alpha x, x)$ for some fixed constant $\\alpha$; for the LeakyReLU nonlinearities in the architecture above we set $\\alpha=0.01$.\n",
    " \n",
    "The output of the discriminator should have shape `[batch_size, 1]`, and contain real numbers corresponding to the scores that each of the `batch_size` inputs is a real image.\n",
    "\n",
    "Implement `discriminator` in `cs231n/gan_pytorch.py`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Test to make sure the number of parameters in the discriminator is correct:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correct number of parameters in discriminator.\n"
     ]
    }
   ],
   "source": [
    "from cs231n.gan_pytorch import discriminator\n",
    "\n",
    "def test_discriminator(true_count=267009):\n",
    "    model = discriminator()\n",
    "    cur_count = count_params(model)\n",
    "    if cur_count != true_count:\n",
    "        print('Incorrect number of parameters in discriminator. Check your achitecture.')\n",
    "    else:\n",
    "        print('Correct number of parameters in discriminator.')     \n",
    "\n",
    "test_discriminator()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Generator\n",
    "Now to build the generator network:\n",
    " * Fully connected layer from noise_dim to 1024\n",
    " * `ReLU`\n",
    " * Fully connected layer with size 1024 \n",
    " * `ReLU`\n",
    " * Fully connected layer with size 784\n",
    " * `TanH` (to clip the image to be in the range of [-1,1])\n",
    " \n",
    " Implement `generator` in `cs231n/gan_pytorch.py`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Test to make sure the number of parameters in the generator is correct:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correct number of parameters in generator.\n"
     ]
    }
   ],
   "source": [
    "from cs231n.gan_pytorch import generator\n",
    "\n",
    "def test_generator(true_count=1858320):\n",
    "    model = generator(4)\n",
    "    cur_count = count_params(model)\n",
    "    if cur_count != true_count:\n",
    "        print('Incorrect number of parameters in generator. Check your achitecture.')\n",
    "    else:\n",
    "        print('Correct number of parameters in generator.')\n",
    "\n",
    "test_generator()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# GAN Loss\n",
    "\n",
    "Compute the generator and discriminator loss. The generator loss is:\n",
    "$$\\ell_G  =  -\\mathbb{E}_{z \\sim p(z)}\\left[\\log D(G(z))\\right]$$\n",
    "and the discriminator loss is:\n",
    "$$ \\ell_D = -\\mathbb{E}_{x \\sim p_\\text{data}}\\left[\\log D(x)\\right] - \\mathbb{E}_{z \\sim p(z)}\\left[\\log \\left(1-D(G(z))\\right)\\right]$$\n",
    "Note that these are negated from the equations presented earlier as we will be *minimizing* these losses.\n",
    "\n",
    "**HINTS**: You should use the `bce_loss` function defined below to compute the binary cross entropy loss which is needed to compute the log probability of the true label given the logits output from the discriminator. Given a score $s\\in\\mathbb{R}$ and a label $y\\in\\{0, 1\\}$, the binary cross entropy loss is\n",
    "\n",
    "$$ bce(s, y) = -y * \\log(s) - (1 - y) * \\log(1 - s) $$\n",
    "\n",
    "A naive implementation of this formula can be numerically unstable, so we have provided a numerically stable implementation for you below.\n",
    "\n",
    "You will also need to compute labels corresponding to real or fake and use the logit arguments to determine their size. Make sure you cast these labels to the correct data type using the global `dtype` variable, for example:\n",
    "\n",
    "\n",
    "`true_labels = torch.ones(size).type(dtype)`\n",
    "\n",
    "Instead of computing the expectation of $\\log D(G(z))$, $\\log D(x)$ and $\\log \\left(1-D(G(z))\\right)$, we will be averaging over elements of the minibatch, so make sure to combine the loss by averaging instead of summing.\n",
    "\n",
    "Implement `bce_loss`, `discriminator_loss`, `generator_loss` in `cs231n/gan_pytorch.py`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Test your generator and discriminator loss. You should see errors < 1e-7."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum error in d_loss: 2.83811e-08\n"
     ]
    }
   ],
   "source": [
    "from cs231n.gan_pytorch import bce_loss, discriminator_loss, generator_loss\n",
    "\n",
    "def test_discriminator_loss(logits_real, logits_fake, d_loss_true):\n",
    "    d_loss = discriminator_loss(torch.Tensor(logits_real).type(dtype),\n",
    "                                torch.Tensor(logits_fake).type(dtype)).cpu().numpy()\n",
    "    print(\"Maximum error in d_loss: %g\"%rel_error(d_loss_true, d_loss))\n",
    "\n",
    "test_discriminator_loss(answers['logits_real'], answers['logits_fake'],\n",
    "                        answers['d_loss_true'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum error in g_loss: 4.4518e-09\n"
     ]
    }
   ],
   "source": [
    "def test_generator_loss(logits_fake, g_loss_true):\n",
    "    g_loss = generator_loss(torch.Tensor(logits_fake).type(dtype)).cpu().numpy()\n",
    "    print(\"Maximum error in g_loss: %g\"%rel_error(g_loss_true, g_loss))\n",
    "\n",
    "test_generator_loss(answers['logits_fake'], answers['g_loss_true'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Optimizing our loss\n",
    "Make a function that returns an `optim.Adam` optimizer for the given model with a 1e-3 learning rate, beta1=0.5, beta2=0.999. You'll use this to construct optimizers for the generators and discriminators for the rest of the notebook.\n",
    "\n",
    "Implement `get_optimizer` in `cs231n/gan_pytorch.py`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Training a GAN!\n",
    "\n",
    "We provide you the main training loop... you won't need to change `run_a_gan` in `cs231n/gan_pytorch.py`, but we encourage you to read through and understand it. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "tags": [
     "pdf-ignore"
    ]
   },
   "outputs": [],
   "source": [
    "from cs231n.gan_pytorch import get_optimizer, run_a_gan\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter: 0, D: 1.36, G:0.6971\n",
      "Iter: 250, D: 1.726, G:1.01\n",
      "Iter: 500, D: 0.7379, G:1.024\n",
      "Iter: 750, D: 1.299, G:0.6642\n",
      "Iter: 1000, D: 1.149, G:0.9326\n",
      "Iter: 1250, D: 1.058, G:1.092\n",
      "Iter: 1500, D: 1.109, G:2.279\n",
      "Iter: 1750, D: 1.176, G:0.9562\n",
      "Iter: 2000, D: 1.267, G:1.023\n",
      "Iter: 2250, D: 1.343, G:0.7884\n",
      "Iter: 2500, D: 1.395, G:0.9411\n",
      "Iter: 2750, D: 1.372, G:0.7638\n",
      "Iter: 3000, D: 1.288, G:0.9088\n",
      "Iter: 3250, D: 1.322, G:0.7669\n",
      "Iter: 3500, D: 1.358, G:0.7936\n",
      "Iter: 3750, D: 1.319, G:0.8163\n"
     ]
    }
   ],
   "source": [
    "# Make the discriminator\n",
    "D = discriminator().type(dtype)\n",
    "\n",
    "# Make the generator\n",
    "G = generator().type(dtype)\n",
    "\n",
    "# Use the function you wrote earlier to get optimizers for the Discriminator and the Generator\n",
    "D_solver = get_optimizer(D)\n",
    "G_solver = get_optimizer(G)\n",
    "# Run it!\n",
    "images = run_a_gan(D, G, D_solver, G_solver, discriminator_loss, generator_loss, loader_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Run the cell below to show the generated images."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter: 0\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 250\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 500\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 750\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1000\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1250\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1500\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1750\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2000\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2250\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2500\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2750\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3000\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3250\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3500\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3750\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "numIter = 0\n",
    "for img in images:\n",
    "    print(\"Iter: {}\".format(numIter))\n",
    "    show_images(img)\n",
    "    plt.show()\n",
    "    numIter += 250\n",
    "    print()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Please tag the cell below on Gradescope while submitting.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Vanilla GAN Fianl image:\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(\"Vanilla GAN Fianl image:\")\n",
    "show_images(images[-1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "pdf-ignore"
    ]
   },
   "source": [
    "Well that wasn't so hard, was it? In the iterations in the low 100s you should see black backgrounds, fuzzy shapes as you approach iteration 1000, and decent shapes, about half of which will be sharp and clearly recognizable as we pass 3000."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Least Squares GAN\n",
    "We'll now look at [Least Squares GAN](https://arxiv.org/abs/1611.04076), a newer, more stable alernative to the original GAN loss function. For this part, all we have to do is change the loss function and retrain the model. We'll implement equation (9) in the paper, with the generator loss:\n",
    "$$\\ell_G  =  \\frac{1}{2}\\mathbb{E}_{z \\sim p(z)}\\left[\\left(D(G(z))-1\\right)^2\\right]$$\n",
    "and the discriminator loss:\n",
    "$$ \\ell_D = \\frac{1}{2}\\mathbb{E}_{x \\sim p_\\text{data}}\\left[\\left(D(x)-1\\right)^2\\right] + \\frac{1}{2}\\mathbb{E}_{z \\sim p(z)}\\left[ \\left(D(G(z))\\right)^2\\right]$$\n",
    "\n",
    "\n",
    "**HINTS**: Instead of computing the expectation, we will be averaging over elements of the minibatch, so make sure to combine the loss by averaging instead of summing. When plugging in for $D(x)$ and $D(G(z))$ use the direct output from the discriminator (`scores_real` and `scores_fake`).\n",
    "\n",
    "Implement `ls_discriminator_loss`, `ls_generator_loss` in `cs231n/gan_pytorch.py`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Before running a GAN with our new loss function, let's check it:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum error in d_loss: 1.53171e-08\n",
      "Maximum error in g_loss: 3.64798e-08\n"
     ]
    }
   ],
   "source": [
    "from cs231n.gan_pytorch import ls_discriminator_loss, ls_generator_loss\n",
    "\n",
    "def test_lsgan_loss(score_real, score_fake, d_loss_true, g_loss_true):\n",
    "    score_real = torch.Tensor(score_real).type(dtype)\n",
    "    score_fake = torch.Tensor(score_fake).type(dtype)\n",
    "    d_loss = ls_discriminator_loss(score_real, score_fake).cpu().numpy()\n",
    "    g_loss = ls_generator_loss(score_fake).cpu().numpy()\n",
    "    print(\"Maximum error in d_loss: %g\"%rel_error(d_loss_true, d_loss))\n",
    "    print(\"Maximum error in g_loss: %g\"%rel_error(g_loss_true, g_loss))\n",
    "\n",
    "test_lsgan_loss(answers['logits_real'], answers['logits_fake'],\n",
    "                answers['d_loss_lsgan_true'], answers['g_loss_lsgan_true'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Run the following cell to train your model!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter: 0, D: 0.7343, G:0.5717\n",
      "Iter: 250, D: 0.1795, G:0.2988\n",
      "Iter: 500, D: 0.08303, G:0.3492\n",
      "Iter: 750, D: 0.18, G:0.2655\n",
      "Iter: 1000, D: 0.1963, G:0.2817\n",
      "Iter: 1250, D: 0.3972, G:0.08578\n",
      "Iter: 1500, D: 0.1806, G:0.2946\n",
      "Iter: 1750, D: 0.2035, G:0.6381\n",
      "Iter: 2000, D: 0.2168, G:0.2692\n",
      "Iter: 2250, D: 0.2095, G:0.2156\n",
      "Iter: 2500, D: 0.2147, G:0.2085\n",
      "Iter: 2750, D: 0.2591, G:0.1617\n",
      "Iter: 3000, D: 0.2301, G:0.1614\n",
      "Iter: 3250, D: 0.2203, G:0.1622\n",
      "Iter: 3500, D: 0.2251, G:0.1991\n",
      "Iter: 3750, D: 0.2345, G:0.1442\n"
     ]
    }
   ],
   "source": [
    "D_LS = discriminator().type(dtype)\n",
    "G_LS = generator().type(dtype)\n",
    "\n",
    "D_LS_solver = get_optimizer(D_LS)\n",
    "G_LS_solver = get_optimizer(G_LS)\n",
    "\n",
    "images = run_a_gan(D_LS, G_LS, D_LS_solver, G_LS_solver, ls_discriminator_loss, ls_generator_loss, loader_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Run the cell below to show generated images."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter: 0\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 250\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 500\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAOwAAADnCAYAAAAdFLrXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJztnXeYVNX9xj+zywK7IKgoIGhARUWxYa8oNiyoqLGgRlTURENijOUXY2IFW4gaWxLjY6/Bjg0bJmILKipGQVFBNIhE1FgwApnfH8t7z50zc+fWmd0Zz/s8++zuzJ17z7ln7nm//ZvL5/M4ODjUBhraegAODg7R4R5YB4cagntgHRxqCO6BdXCoIbgH1sGhhtCh3Ju5XC6yCTmXywFQTavzRhttBMBrr70WeqzG97///S9nvd6uzeS6nxp/xM94B9f7/JZ9tl3PccmSJQB06FD2cSuAPUfBMayDQw0hV44R0+xccRhXO492okqi1nbnJMiKYaOuYS6Xq6pk9X1bQz8cwzo41BCiC9UxEWfHTcusbaE/fx8Q9X66+149OIZ1cKghtPkDG8c6GIR8Pu92+Spi7bXXZu211/b+v/baa72/c7lc2TVtbGyksbEx1vXCzvl9Qps/sA4ODtERyUqcpRU3jr7Z0NC6n2hHXrx4ccH/S5cujX3+75uFUfPTvfzf//4X+3xB97Rz584ADBgwgDfeeKPgPV3vX//6FwC///3vATj77LMLPqu1jPO9+L6toR+RjE5ZulviiK46Vg+qFrXUg5rk/G0J+wFabrnlAPjyyy8rcj1d58QTTwTgD3/4Q+TP6qGyvwfffvstQNHD6r+eHkwde9111wHws5/9DKiuSy9rNDU1Aeb7Wek1BCcSOzjUFCKJxEncJrbYGnSOLl26eMf897//LXhPu6/YSDuZYIt3DQ0NoSJfW4hTs2fPZrXVVgPg008/BWDFFVfUeAqO1a4dhA4dOoSykX+OgwcPzgMcf/zxAPz4xz+ONXY/gtbwm2++4YwzzgDguOOOAwyTT5o0qeBYMW2nTp0AOPTQQwG4++67Afjuu+9CDUxtsYZPPfUUO+ywAwALFy4EzBraEqDmlgYucMLBoQ5QsdBEQYzx1FNPATBkyBDAuAKOO+44j2GHDh0KwOTJkwFobm4GYJVVVgFgzpw5gGHcbt26AWbHy+fz7croVMo4Zge7BwWG33bbbQD85Cc/AeA///lP5OuWC01MYnzSZ2wbwnfffQe06qmal/TZDTfcEICvvvrKO8Z/XZ1T0OtRXD7VXMNS3yd7Db/55hsAWlpaCj672WabATBt2jSgvO3FhmNYB4c6QMVCE+2dSfK/dtpbbrnFe1/sIcvl888/D8C///1vAC655BIARo8eDcDqq68OwNdff1103fZkJfbr759//nnBe/fccw9gmOatt94CoG/fvoCRHrJGOWaVNCQdTOwoSce+37/5zW8A6NOnT5H0c8011wDQsWPHgs/ofd0bMerw4cO9Y2zLclvC/32aPn16wXs33HADYO7XhRdeCMCWW24JGIkxSziGdXCoIWSmw6633noAPPTQQwBstdVWBa+vtNJKALz88ssAbLLJJgBcf/31bL311gAMGzYMMLL/vvvuC8CIESMAWHPNNQF45JFHAOOUF/wWxkrosDp39+7dAYpYMwhRWF/6z6JFiwCju/7pT3+KOjz/9bw5du/ePQ/BOnBLS4ung2k+YtR//OMfgLEwz5w5E4CddtoJgCeeeAJo1cNHjhwJwO23314wD51LEJM++OCDGitg7m0ul+OUU04BYPz48aHzW/aZ2GKV7UMNQ5Q1lLQgKUaegblz58YdntNhHRzqAakYtlTisnZKWT0nTJgAwMcffwzAXXfdBZjd+qOPPmKLLbYA4MUXXwTgpZdeAmDbbbcFYLvttgPg6aefBozOIAur9KEBAwZ4562mlVg7a9euXQH44osvgEKW0Xh+/etfAzBu3Dig2Foahi+++MJj+CBkXSJmv/32A4zebUsxuVzO0zclKcinLiaTfUJsrdfFRmeeeSYAY8eObRM/rK5p69jvv/8+0Crd6bWrr74aMHOJu4ZPP/00O+64Y9ljHMM6ONQBUuuwtq9RLLjHHnsAcOuttwJwyCGHAEZn2HTTTQHYc889OffccwHDrLvvvjsA77zzDgDLL788AP379weMTqCdTb/lFyyHavrw/PdWLHXvvfcCrRFeABdddBEAJ5xwAhDNDxnhuqkYVpKB2NJmVPv3CSecwB//+MeC12xJS+sun/r6668PwMSJEwEYNGgQ0BoVZp+/3PySzjEq/GM47bTTALj44osB6NGjBwD33XcfANtssw0Qr9hames6hnVwqHVEYlg7OsavYwR9/sknnwTgyCOPBEwGg6zG8rX6scYaawBw3nnnAcYPe9ZZZwFG791ggw0A+OSTT4rGUM1IJzGQrKw2/GN58803AbzEb/ktZfnOElnpsEFRWPoeKGptypQpgeew9dF+/foBcMUVVwCwzz77aMyRx5XlGoZ9X/zvyw9tW/TtCKcs4BjWwaEOkFqH7dWrFwDz588H4KqrrgKMJU0RL4oCeeyxxwATLzxkyBDPR6jfu+22W8Gxe+21F4DHUmL8UpFOYWgL/aeUZbeSJU/iMqzNMp999hkAK6ywAmAsuvotiULHr7LKKnz44YeAseDLpnHSSScBcOmllwLFbC0W94+hPcWDS5pYvHhxYNRWJaLrghg2s8AJLYSc6QoflEtG4u0dd9wBmAV844032GWXXQAjJikFTUnOcrYrGEO/BRlqWlpaAgMEsqz8r3P16dMHaHVNlXpf49pyyy29DU2GNRnSbDz33HOAMWDYaGpqCnX2x31g7coectHou2E/ZLp+qVTAoOQCdWl49dVXNa6CayrMb+TIkd7mFrQhZ/nAhgVQyLB00EEHeeL8ySefXPBZG6NGjQLgxhtvLPl+lDrOTiR2cKgDpGZYhSIqTFDuCQVwK2FagfsSc1XbZ86cOZ6oIXFKY/rBD35Q8PoHH3wAGMPF7NmzgXjlRZLszkn6v/jxn//8xwvRE1spvE+qQZaIy7D2dyBI1BswYAAAs2bNKjqHHXAg15vWUGukxHYZDiUyy4ATBW2xhkuXLi0InwTjmnzllVcSnbMcHMM6ONQByjJsx44d8xAs35eSxeXOufnmmwET5H3TTTcBJuhfBo2vv/7a+1uBD9INpMMo1UzXkt6z8847AyZp2k4GKIVqGiwkAfTt29djVo3RTp9TAS8bki78xo8w+Of4zTff5MEEapSCbeTROtiF1HScJKKePXsCrWyqz0iSUGii1soOjFdJmbFjxxYcr2tFnd+ycVVsDfUdbG5u9uavtEP7mN69e5c9V5rKkIJjWAeHGkJmVmJZNadOnQqYnfTyyy8HTLKzUqcUBD9ixAgvmV0B4H/+858L/tc5xE5y80h/9lv6lDysRAIbaXbnuCU5dQ/GjRvnzb8aFezj6rBid1nY5daZN28eYAL35aKTpVeW31wuV8Sg+l7deeedgFmjAw44ADA6aylGDbPcVpNhpZN//PHHnleg2mvoh2NYB4caQiyGLRWKJ+ugdkVbd7Gd70o9ExNvtNFG3k6q3UwF25QEEFYwTDte165dQ4s4t0XghF/X1/2RLq9gkIyvG5lh+/Tp40kuWhvpYgrIl3VeoaCC9NVFixZ585NPXcwqf7z0Pp8/vOR4OnfuHFgaRgnhH3zwQdXX0D8ufU9Vzkc+9oyv6xjWwaHWkVqHteX5oIR2WRQVunjllVcCrRE/8kX+5S9/AeCwww4rOFep8LWkqAbDSi+TpPDyyy97UVvVQFwdVsXCdN+lo+p/3X8VFJBEVKpgtiQpJfNvvPHGAPz9738HwgvLR0E11lD2Cunzs2fP9nT2JP2J4sIxrINDHSARw5YL1Lathdqp9LraGyxYsMA7l/Rg6Tl27GpYGlscVFOHVXTXhhtu6EX0aMcOK/OSBnEZVmVQxIZBxeXEjrITKM42l8t56601UhqhIp50brF3GlRzDRX73rNnT08/nzFjBkBBj9ys4RjWwaEOkKiWRam2BYKto+h/2z8ni9+cOXO8uFI7okbHhjFrFrptEui68ikGNUGaNWuWp8OqVE57guJ9JQXJH2tHY+n+SjpQdNPDDz/M3nvvDZgytna5nqjMGqWhWSXw3nvvAcaqbeOll17y5iTreVvAMayDQw0hMyuxzqNd2faH2vmP/iiWoIJdUVHt7t3Kf5UfTtDcVdJVxdP9EoKK1IWVuUyDtAnsQUXQbI/A9ttvD8Czzz7rretPf/pTIHrDaH1OUlYUJs5iDdWgavDgwSXH889//hMw0Vz+VqjyMR988MFxLxsZTod1cKgDxGLYckxWqrWi/zN2vqTYtKWlxTufsh5spg3K10yi61TSwqjYW5Xy1Hy6dOnisbFdnaISSFqETfdZ91e6mt0EStKT1rxfv35eVpaqgUjaCKoAUi4uO2x9K7mGao2iVin+NVWVkKgtWtKg4iVihOuuuw6Ao48+Giius2uLzEuXLvW+KEoIlriihWtvgRNKFTziiCMKXlcKmzaaUnWSw77IWaDcA1vqYbDvq2pKq4dR0P32u/B0DhmwVOPJNja2lzX8/e9/D5hyL75z2dcq+my119APJxI7ONQQKtaBPWgntZOg8/l8uTSqpJcPhL1zNTQ05Ct1LaF///5eMns1kLQIW5iKEZT2Nn36dM9oJPz2t78FTI3pLNEWa9jc3ByrjE1aOIZ1cKgDVIxhbSjNTqF5UVCJgIhqhrW1FfxzXH755fNgUudKIchgWOK8QLwE7g033BCA119/PfJnwvB9W0M/HMM6ONQQMmfYNC6XauD7tjunmV81rKFx4HP3fa/W0A/HsA4ONYSyDOvg4NC+4BjWwaGGUDa9rr3rBkmslrWmw6adY3ufn90pLwrSrGFbpGJef/31ABx11FGhxwY1bRMcwzo41BCq5odtL6g1hk2CWmLYJMhyDeMwbtxC8mngrMQODnWARCViHBzqBXF02Wowaxgcwzo41BCq/sCussoqXoI3mOLhUdDQ0OBFUrVnDBw4kIEDB3r/P/PMM5E/WytzrHXkcrlYlvegAnvVhvtmODjUECJZiSvhu1KGyOabb84LL7xgXxcw5TnEwr/4xS8AU9khCRMFWRgrMUdZFXfYYQev0bXvuoCJ07311lsBU3xcn03S2rA9WYmrmXGlHOtSlT6Swn//g3K7lScsFtb1VTRf3+NSnw26L5mUiBk5ciQAt99+e+BnbERN3SoFlZFRTV/VC1K9nSRfhjCXwGmnnQbAxRdfHPmcaeaoxdV11VVedX6TJFO0xQOrL6vWQj1nP/30UwBWXXVVwJSOSYOwNUxyz9IkrdjuniwSYJxbx8GhDlCWYddcc808GIZTf5hEFwpgw8WLF3PDDTcAhl1U2/bhhx8uOFa1YSX67LbbboDpErd06dJQEdLeubbeeus8mFImu+66a+Q52Qia45IlS7jgggsA0xFOBdxsg5RYWqx9/PHHA0YtWLJkSaw5ViOo4IEHHvA626mXrAyLKquic/Xv3x8IlkrK9YcVshSJ7TkGzXm55Zbz5qIx6xh/jyEw1TLtzhA6fuWVV/Z6S0Wdo+AY1sGhhpBZXeIgSJ63e+3od1NTk3e+WbNmAaYrmHZa6QjSCWxjk11PtxzC9J8kcwwqjanxNjY2eq+pxq9dUd7u2Bf1WqVQKR3WZsWVV14ZgIULF3pz1W+xnXrWiFk1/kMPPRSAJ554AsDrAh8FlVhDGY6uvfZaAEaNGgXAK6+8AsBmm23mzW299dYD4M033wRMor9t41GP3PXXXx8wPXK//fbbxEYnx7AODjWEWKGJ5XYssZt2KjGHrId2ichbbrkFaO0W9vbbbxecQxZam03s7gHa8ffaay/vmDQWW0g2R3Xds+eoguN9+/b1dDvNSb1ngqQCW6f64Q9/6L0XVG40KwTdQ/t/pcZ16NCBqVOnFhyjMqeqlq/C3ZKetGaVCBIJkRrLHnvkkUcC5h6fffbZQOs41SNp8uTJABx44IEAfPLJJ4C5H1dddRVgOuGpAJ5ft07q5nIM6+BQQyirw3bq1CkPwVa3Dh06eL4n9Rtpbm4G4N133wWMxXfKlCkAHHPMMYCxei5evNjrguaX8f3nEnScLKs2C+VyOc4//3wAfv3rX5ccs60bdOvWLQ/F3faEpqYmj8nEoNp91SdH+tg//vEPwFh2r7zySqCVddSGRP1TdS57jmG+7lwuF5oQnVSHlaTQs2dPwFh8gyAmXrRoUWCgh9aoT58+gOnsp85v6gRXrQ6Ev/nNbwA49dRTAdOvV6GksvBKP21paQHgoYceYt111wXglFNOAcx9GjFiBAB//etfAdOt8J133gGK13L27NmhqXpOh3VwqAOU1WHD/Fn+3UG6io1hw4YVnKuU30vsJn1GuqGOPf300wGjO9i4/PLLvXPGDeULYlbBryfabCioeVS5Odq+ObvBl3zRt912W8lraJdOMseokGRjM2vv3r0Bw8BqO/Lss88CrWuv+Sl8VH5tlX6x9d8JEyYU/K97NXnyZIYOHZp+MgEYO3YsAOPGjQOMlPDLX/4SgAEDBgCwyy67AMbC29TUxH777QcYCer9998HjIX/nHPOAeDqq68GTPc/PRuSOi+77LLEMQ2OYR0cagiZl4gRy8g67CsqVXCcrnv00Ud7OlkpndT/WUWUqKWhkgZkeZw7d26oDpRFeRGxrnTZIP1L/w8bNozHHnus4LWgOUrXU+TQHXfcAcBqq60GtOqAceaYZH5RI4bEyE1NTRx++OGAkRCkE8qGcdBBBwGGrYW0sdKQrOGXdOk11lgDMLr0/vvvD5g11vgbGxs9SU7d2TfbbDMAZs6cCZg1ksT19NNPA+ZZkOQYFslVao7ePEI/6eDg0G5QsSJsYVFJgwcPBuDVV18NH+QyFlIXc/k3FXucZbZOHASVINXrm2++OQAvvfRS6Ll0Du3Sjz76KGD0oKRzTDO/oAwbranSHL/99lsvnlttJ8VCkhSyRJYpkkp9U9Our776CoALL7wQMPHzfglAuryYdPfddweMZ0LWYVmPba9GlLE6hnVwqANkzrBKyFZ8pfQ8+bMU9aHrduvWzYsQ0bF6T1EnsqDqfVkck+QbZsGw0kG008pKKF1FFlPNo6WlxbNG2zHDiupSPmzWc0wyP1vnCpIg5G989913PWuqrN9af50jy+ZoSdZwnXXWAYy+KdY7+eSTAeOfVQTa3/72N8BIF3369PG+p88//zxg/OCSJmRZVuSe1loxCnGQSQJ7wDGAMY9LWQ8KyNeCRg12B2NkmjNnTsE1dQ4ZOg444IACMa0Ukix20Bzt94UgdaAcJJK99tprJa+pihVDhgyhe/fuQLBLKu0DK/eVxHN9AQU90EqhGzZsmPelvOiiiwBYa621gOJ7dcUVVwAmZdNGt27dQrvlpdl0NTc9iDKwKShi/vz5gHkIt9xyS6D1+6Sk/IkTJwJw3333ASbg51e/+hVgAnzk0tL3wJ8M8Nxzz2kuBeNzlf8dHOoIqRnW/rx2E/t1OaSVQlfuXNr9tMOLseTsVkjYiSeeCEQzk/uuEXt3jjpHpcyJJcudS4ykXVivX3PNNYBxfyh0zk4sCBlvLIYVC4o5o4qvug/vvPOOxx5aG4VrKuAjy77BSdZQkp1UMn23xLhjxowBWt2MYAxId999N9AaWisjXK9evQrOrTRDJQPITbnxxhsDMG3aNMCoB1HgjE4ODnWAsgz75Zdf5sEYEKLADma2dVUZVaQ7fP311x57yDBlF7OSHqfdWTuYjFIy0ETRi+2da8mSJXn/uKLAZglbV9U4ZJT66quvPBbTvDVmW1fVuaUnDR8+vOB1HVcOaXXYsMB0jVm626BBgzxJQWl2+s5I+hHb2JA+rnktXLgwdHz2Gvbv3z8PxsZRarz291wpcUrGEDs+9NBDgJEIFVb43nvveYY12Q6k0+o+aW11LbG3Ai50bum+ceYoOIZ1cKghpNZhtatIPpfjWQHisuCqCJl2ZVnS/BXY7bEoQFy6w9Zbbw0Uhwb6ETdtKcoctVPKjaFzq4Sn5qgAcgXPS08qF6wva6GYRoESdpK+H2EJ7EkZVvOMqi+LDe+55x6vuJys9DZsqSRNJ7g0VmJJLiqVK4u0QkCV3qhQRQVF9OzZ0wuAUWLDjTfeCMBdd90FGBuL0ixti7h/3VSCRucIm6PgGNbBoYaQimG7du3qMap2KlnQlFan0EMxruDfYTUGldSQVW3NNdcETOmNoEQC/zmDdmxZXefNmxdrd15hhRW86ysYXnqNyqwGzdFfakVzlL9PupOKk/373/+ONEd/Qr0NJUHMnDmzIkXYbEuvxrHiiit6Vm8VU1MygAIQskQYw8p2IKnPXwRP3zF5K2QZ1+tz584FzBzFvCNGjCia91tvvQWYMNswC7jWdtVVV/WuE3WOgmNYB4caQmoddsiQIYCxsr344osA/N///R9g2HG77bYDzC5UyqKrHVwWxh122AEw1jU76TtJIask+o+CuI877jjASAAqdyPdVmxZruyqXpPOuu+++wKmKF3Wc6xEq46VVloJMGF806dP9/Q1sVole6mmSa+T1GPfZ70vHVahivoODhgwwEvnFOtKb7eZNws4hnVwqAOkZljpAorykU5rQ7uQfFjy24FhEe3OCtSWTvijH/0IgJtvvjlsOKFIsjsr2Vk6oqJlgmBHDi27bsF7mqMKbav8yL333hs2nFCkZVhZM4OaO2kuijRbaaWVuOyyywCTFqgYXDuuupqRTn4pxbZKS8LResguIQaWrUEx3A0NDUXfU9uCr2ivoGcgDhzDOjjUAWIVEi8FldiwU4nsomz+dDowO9uECRO8eFlFqtj6bVRmLRXRkgVk+bZ9znZXbrGHzVCTJk3ykp0lNdjlV6Iya0NDQ6apaqVg+7nlO99iiy28MYDxFT/00ENe0rZicO3IrUqPuRT83wVbd7XTHeVTtyPQxLQzZszg2GOPBYwV2rYzZMGsYXAM6+BQQ8g8gV3nC8rzE1RK5I033vB2P7VzUKnMMGinl3VW+mDI+FInsEdlccXPvvbaa95YVQpTrSzCoM+p4JeiaELGl0qHVUFsST5iR+W/ymovz8CHH37oSQwqEC8LeiWQJqdZa6eIMkkGghhX0lSp5PO4bS3tePEoFnSnwzo41AEyY1i7IJl2Y7uNoN0Ud4011vB0JOkLYTGt5RpexS1ulWaOYnYVlBa08+r4Xr16ecwo63DYHMtZVePMMc78ws4rv6vK2cgfvdFGG3lr9/rrr0e9XGKkWcOgwnKKgVbGmHRaf/kf2Sz0no6VH96+b1nGSwuZi8QqdaKFCzp/qSRwuXrkNqmEoSJssaMELEg8VTB4kjlK1KqEkSytSBzUn0hjtw03fqge8YwZM+JeNjKyUGtuvfVWwAQ/KFFD4q56Id1zzz1AITnIZaXwUkHGuixcWE4kdnCoB+Tz+cAfIJ/VT2NjY76xsbHo9WnTphW9NmbMmPyYMWMyu7b/J8kcc7lcftkunmiOs2bNKnpt/Pjx+fHjx1d8jl26dMl36dKlItfRz6BBgyp6/izWMOra2v83Nzfnm5ub8yussIL3nn46dOiQ79ChQ1XmqB/HsA4ONYSyOmxzc3Meyhc5ixqkbhtsokB9ZmzDVRrYukH37t3zQNnSmpWco0q4hvVijYNKBf+nSUjIElnosEFQoQV1TIyCckbQpHA6rINDHaBivXXs6vFtjaACzWnmKFeAKv23NXwhgxVNr2trZMGw7UVasOEKiTs41BHKMqyDg0P7gmNYB4caQtn0uizD2iqBM888E4Bzzz039NhK6LDVQBLLc6VLxGSJJM3RKmklrgTSrqEfjmEdHGoIFbMSxwl8ztKPVcng/1pBLTFsEnzf1tAPx7AODjWE1CVighAnpSgts/pZ1Vm9HeoZjmEdHGoImT+w/uZWUVCufWLcc7VXlCoo7uCQBO6b5OBQQ4ikw4a1N/QjSIe0mbJc0ye9p3KSOqdKr6hgc6kMm/YYI1qu8sA+++wDwIMPPgiYih1qAqxWKA4OEOLWaWhoaM0OXnZMEvdLlAfIrmGr/4Me8qjV6kohzCWQpg5PEqgUieoVqz5Q1B6tpdAe3Dr2utv1j9LAuXUcHBxqAmVF4iTMatdgtXur2JXV99prLy95W4XJJOqqrq9dgX655ZYDTKV1jbN3795eH5y4iFMzNi6+++47r+bymDFjgNZ5Q3H/1FNOOQUw3f969uxZ8H4+n293hrj58+d7BdrmzZsHmA53diE6MW2Q5NW5c+eyBRPaCu+9957XQzYs1LCS6+MY1sGhhhArNDGOQUfHKpH95JNPBmDcuHGAqYB//vnne6x23333AaYf6/Dhw4HWHRxMlXbtdDI+qdyoP5G8PYQmTpo0CTDd6MFIGDajy6Cnfrqq66x5qGN3v379Qq9bLR1WRkE/I2q8YlYVMFD5UEEdAlSKRR3oo6CtdVibYYMYV6VTw7qtB1zD6bAODrWOWKGJIRZloHjX0e8LL7yw9YLLrLCPPPII0Lrzzpw5EzCsM2DAAABuuOEGwBQlV6c8uT769u0LmB2+WvpdVElDLpvGxsYi3VhV9DVn/RazPv/884ApWq0uA+0Juu+NjY1FDHnJJZd474Gxgvfo0QMwdoj2po+Xg+2dmDhxYsH/48ePB+DII48EjB6fJRzDOjjUEDJLr5OepvYOaoGgQmV2eweVMJ00aZLXvfvnP/85YHRRsYo6oU2ZMgWAvffeG4C7774bMJbHGTNmhPpR0+g/6lMr5lSfHOnYQbpNPp/3rKdi0BLjAowEIl1XlnDpi01NTaGBLEl1WElJa621FoAn+YQhik3DtuzLhnHWWWdFHZ7/elXXYePYbYS4Xe6s6zkd1sGh1pGKYUt1PJfOot167NixgGFUMfDxxx8PtPZJFVMefPDBAEydOhUwTaf0WXUNk6VUPldFz5x44omerizY46vE7izW/Oijj4Bi36P/PtmNkrQrSxJ59NFHAaO7XnXVVYDxy/73v/8N1fuythKL9WUzmDNnDmCisZqbm735yXeuRlFxSr9Aq0UDWJNaAAAWWklEQVRV1tUgVJNhxY4dO3b05vjkk08CsPPOO+v6sc65YMECVl555bLHOIZ1cKgDpNZhxag6j3ypI0eOBGDNNdcE4O233waMX+7aa68FoHv37hx00EGAiXRae+21ARMAv99++wGw4oorAoZRFV0jXU5tKsshi9154cKFBeMpcy1vXBqrzaxiIM3B3q0ff/xxwNgIorQwTMuwUeOp/d8dST1iX+lv0vfvuOMOwEStpUE1GdY/R30fZWvRd1+9ZiVpZWH5dgzr4FAHiMSw5SI67M/rvVtuuQWAY489FjC6wFZbbQXgdSRfunSptxtvsMEGgNHfbr/9dsBYjdWoSGVNFRXkH0M1i7AtWLAAoEgfEQOr27c/QyVsfHpf9yRJq5OsdFj5EYOikPxz+dWvfgXAqaeeCpgor0MPPTTp5QPRVpFOUVNHM7qWY1gHh1pHah1W/kExwejRowHTkl46zIwZMwB48803AXj33XcB2GabbbwomOnTpxd8Rlbja665BjB6nnyU+j9OsnoWu/NFF10EGMttmWsBrVZutcwUG4u1sswT9V03FcNGjeSSPj1z5kwGDhxY8JlKlsVpKx3WRiWjtIIYNrPACRkTZEySaX6PPfbQAAD42c9+BpgghHw+77lvJD4rQUAGDAVQnHHGGQDsv//+Gh/Q6laAVqV/1qxZQXMBsqn8r2BuhdnpoRM07lKB+kGpinYFDvvLoI1x5syZoQkAaR9YjXHo0KEAPPHEEwXv226r5Zdfnu7duwNw7733AjB48OCS554wYQIABx54YMn3O3XqFKoGVPOB1TqMGjWKbbbZBjDf06AHVu8rwSEJnEjs4FAHSM2wMrDIyPTLX/6y4H2FpMnJrFQ4iYg33XQTgwYNAmD99dcHTKifkgAUAihxWoEUSnyX+yGKaJxkd9Z57RI2UdHQ0OClGUr0VZjl9ttvD8Bjjz0GmLBL7d5JkrnjMqwtxsath/XMM894BkMx7XbbbQfAs88+G+tcUZBmDZOKsaXuiYxyCujJEo5hHRzqAGXjxqSbKQTN3mUaGho8PU7vXX311YAJoHj66acBE0YoQ9K+++4LtKZdrbvuuoBh6QMOOAAwwRZyj4jh5Kg+4YQTAHjxxRcBeOGFF4pC/8KgZHmNtxTsXVmpb8899xxgkvNtaNwfffSRx6x24nrQzm8HL6iUjCSVLJGUdf785z8D0KtXL49ZZSB84IEHALMOQaF4SplUckSa4nPlkCWzCjIcVsPQJjiGdXCoIWRmJZbVTzurdrT11lsPgNdeew0wgRNi3oEDB3oBEkcddRSAZ+ndeuutAeMCknVWLKMgbL/lVSGACqqwkcbCqHslfU16uEIqxSZiVunYDQ0Nni6v9EJB4Y1iFv2W7rfttttGHZ5/nImsxHFdTGL/jTfemFdeeQUoLgVTCbSFW2fx4sWeJ6QaSfdOh3VwqAPEYlg7Idcvs8tPKIbQbqTPyO+o32Li4cOHe343Mej9998PGIuzrY8GjTlKicw0u7P8wQr0CIOCwefNm+eNWeVDVM5UbJ0lqlWETYErTU1N3vwkdey5556AkayyRFswbKlUUrvYQMbXdQzr4FDrSK3DimVt66dtMVPys4LBFbrYo0cPzxosfU0+SjGrGNguTm6jUn5Y6Sx2MXRJFRqPinIpykv6e5RzZ9kLqNIMKzuBiqF//PHHRdFQlUQ1GVZru2DBAnr16lWpyxTBMayDQx0gEcP6WUGlTWRZVGsJ6bLdunUDDDuVavak88mqqggSjU0+PiWop2GjJLuzYmonT55cMHa7LYn8skqAkHXbP2Z9VvfNjh3OgmmrFfy/0UYbecdLV5W/vZJsVE2GVTne1Vdf3UtwkJ1EElYl4BjWwaEOEK9C1jL4d147xU1xldp9xCTatVWyVH7S2267jZtuugmATTbZBDDZN0pcl58zCJXuCasMIzHscccdB8B1110HGGuh4mfVUkTjmTJlihczLP+zjUqNPQk0FkkOWiv5km1MnjyZHXfcETBW8FqDbC9BceJffvmld18kNbYFHMM6ONQQMivCJsupopCmTZsGGHlfuq0aWSmSZ8mSJZ6vVhFCft3Pj6ByNOW6uZc4R2r9R9eRBKCSnjvssEPBcYqRVvI+ZJMrGYa0Ouw///lPwGRP6b7/4Ac/KHi/d+/eQKtdQseoZK3iwSuBLNZQEWdBUoO/vKkNeTVULLAScDqsg0MdIFYRNtsP6YddsEvHKj5VWRnS79TQav78+R6zKutGu5osyvYYlVuatkCZf45RoOvp+rovmrPiglV14+ijjwZadXLpv0lig+OiUn5Yte6QtVQW4d69e3v2B0kblUQlrcQa/6abbgoUNiSvtK3Ej0xKxJQasP3aL37xC8B0Z5OCrsAJlTdRuth3333nbQC6SXIR6NwST+yg6yQ3LovFVq1lie7qGC/xqly6VZrNJirSPrCqE/3Xv/614HVtSFqHUonbMhhWKk0OslnDhx9+GDAhlHFQjQfXicQODvWAfD4f+APkk/40NjbmGxsbvf9zuVzBT3Nzc765uTnfr1+/fENDQ76hoSHf1NSUb2pqynfs2DHfsWPHxNcu95PlHKP+3HzzzUWvde7cOd+5c+eKz7Ea8+vbt2/Fr9HWa1jtn6Bn0jGsg0MNIbME9jCoq9mrr74a+TNp+msGoZIGC7+BIiqi9rGJg2ql17UVqhma2FZwOqyDQx0gc4atpuk7DrIsJN7e4Ri29uEY1sGhDlCWYR0cHNoXHMM6ONQQyqbXtXfdIEn7hbbSf4KaYIUhyhxtu0Et6bC1tIZJccUVVwAmTbMcgmwtgmNYB4caQtX8sO0FWe7OUf3EHTp0yNTPGoZaYtgkyHIN43g1kkpJSeCsxA4OdQDHsHU+x3qfH3w/5ig4hnVwqCG4B7YCaGhoKIgnvuSSS7y/m5qavDYmpTB69GhGjx5ddI5yaGxsjN1kOg1WXnnlgvaRN998s/d3Lpcra/Gt9liDEDZOG8pjbmu4B9bBoYbgdNgqzHHevHleYyxBLPvVV18BcMcddwB4LS+uv/56wGTz+NG1a9eCz9oopcNWIsZbTLnrrrvy6KOPFrwn6eD9998H4N577wVMqxZVryg1v7CxBq1hJbK7/GMKGo/WUuui0kZqaaJSOvb5IPochUR1iSsNu4t6JVLQgqBq9nG6rtk3367muPrqq3uLqjnot+amL/bYsWMBU9e51MIGPajloM/vsssuALF64QTdf7k37IcVzNqpa8Ndd91V8Lo6E9pr7R9rXNilhOKcp9Q4/Ch3Ln1G9Zt1/VIPapTzlR1nok85ODi0CdpcJPZXjdeOHWSUyKLztS1qHHPMMXmA008/HYABAwaEnsNmHNXrPe+88wD48Y9/XPD6zJkzvR11/vz5gBGXbGOGuhwsv/zygKnj/NFHHwGtLBJ0H0qFta222mp5gDPPPBMwXQuSIChwYNGiRZx99tkF4/3jH/8IFBcsUD1gdYQQ46so39KlS0PXOUgkTiKJRWXjrl27ejW27fNrrXR/7A72dkG6Hj16lCxg54dz6zg41AHanGH9sHXAIMZVOVHt1jGvUdboFCf8THqPSntqB9ZnNZ8777yTyy67DIDHH38cgDfffBOALbbYouBY6WE286pzn3bzcigXOBGmq5WCmEuf1Rh1jk6dOnms89hjjwGw++67A0ZikEHG1t0FvV7O5SWErWESHVbjeeCBBwBT/vStt94CYNCgQd58VfFfHQAkLRx++OEA3HLLLYBZQ3VQeOGFF4BCKSmu0ckxrINDDaFdWInnzp1b8P+kSZMAs6Pvt99+gKmkv/fee1dsLFGYVe4DHWvrNBq3OvvtuuuuHHjggYBhpeeffx6ATz75BIDhw4cDZlcWo8rKKuaCdBJGOWbVuPXbZkNJEII68a2zzjq8/vrrgGG3n/70pwXzEXQu3Rsx6m677eYdkzbIPo3rSl3lNYZx48YBrfPS/CUlHXLIIYDp/KCC8ldffTVg+knpdc05zRgdwzo41BDaXIeNstPYVkPtyv4dK8b1YgVO+B3mt956K2B2X+3G9913H2B8i/PmzQOMlXjOnDke04hZtfuqdYnYRBbzKVOmAIYR9bupqamox49/rMuO9ea4rFh5YGuQxsZG79oLFy4EjE4mi/b48eMBvD6+sgBL4vnmm2+8eah9iXRX9VwSlMStpG67A31DQ4PHameccUbJMacJfjn++OMBuOiiiwAjvannkaQ99YDS+CdMmODN8YgjjgBM6V61NpGvWfdaXf78oZvQavEPs2g7HdbBoQ7QZgwrv2Lfvn09BtPurGZTcf2uzz33HNtss03ZY4J25zjWU9vCpz6pYtZSkU/anT/44AOgVe8D0ztWu7V240GDBhWcS4zV0tISqBdqt846ve6YY44BTE/bUvObPn06ABtssAFQrINfddVVgGFlRXLpHJr3EUcckdgPmwSSliQlqaui+hzLr/z4448zdOhQAK8TodZOfYDPOeccAK688krAdGyUVV0W59NOO41zzz1Xc4k0R8ExrINDDaHNGNZ/3b///e8ADBkyBDB+zX/961+AiQqqRKRTkjmKDcaMGaNzAkZ3EdPJitutWzfvNXVpV2SPoMgX6baas3Qq7dZi8XJIy7CyhkqXlVVcr/uKvQGtfkbpa7Zl2e4prEgyJUOo7aMkjo8//jjUrpFkDW2pQPq5JJ8HH3wQgD322AMw9pFjjz0WaPUjX3rppUCrJAfG3iB9VzaLYcOGAcaKrnuhexCl1ahjWAeHOkCbW4khWI7PglFLXCs1w9q+RHuc0oPle7377rtDz6ku9F9//TVgdm1FQq233nqAYYJyyEqHDWrupfVaa621AJg1a1bgOWzfrizrF1xwAWCigGzWLoegNUwS4SSJReNQ3K+KDsiq7D+nJA7ptIrP1u/33nsPgB/+8IeAyYyKMy7HsA4OdYA2i3QKYfYqjiQ6NC7pcmKYgQMHArD55psDhk38VuQjjzwSMP4/QbqbGFWsLP+foprEAFEYNi3EMmISJZu3tLQAxUzWqVMnTwfv1q1bwXs33HADgDf/p556CjDWWDt+PE2UUrnP9u/fH4DZs2cD8OSTTwLGD3vnnXcCxsIr+4Qi0Xr16uXN8Y033gDggAMOAGCnnXYCzJpJP5cFOsuiAW0mEvfq1QuAa6+91ntN4XlBD+yuu+4KmNCwJEgjEmshZAzznaPgf5nx9YWPAh0rg4Sc8wrGkLGma9euRcnwNuKKxNpg5C6y08Ps+ZVLgwxK5pebRGun17UJyK2y0047eV98ubLKzW/ZuSKvoe7zggULADN3uWZkjJKYLzfVt99+67moFDo7ceJEwBhNTzzxRMAYT5WooWtorgMHDuTll1/WXCLNUXAisYNDDSE1wybpjVLq83706dMHiObCSHC92LuznfomZ7rEJTGOysuU6zIv9lLYnVwFuobEUTGRDBhKjm9sbPTYocx4YzGsvQZicM1La6sAimuuuaboHL6wSMCUsZFIr9cVfKFgk9GjRwMmgD4Kkqyh5iKjntxnkipOPvlkwBiZFEJ5zz33ADB16lRPwvJXjATjgpPYr+B/sbMSI+KE0jqGdXCoA7SLwImg98RoCmPL6LoFO9fYsWPzAL/97W8DPyPGkd6tHVM6inQuBc+Xgpj0pJNOAuCll14qOIeYRk55MbFcSLonjY2NsQILPv/88zwYFogCO61Nuqp+K6BC9+XTTz/1JAMxql0Qzda7pf/JbpEmgb1fv355MGGfUSApRQYkpWw+8sgjgElS13zefvttT4JSupwMbBq79GOtj763SnQQW+saceYoOIZ1cKghtDnD5vP5orKglUQS/ccO1BebSO+aM2cOANtvvz1gdLyjjjoKKM8aSs2Se2HatGmASZwWA0v3AqNDBemycXVY20It/VNhkWIulX2RBdWfpBGUdK6yKLrGpptuChgGLnVv5EYKkljSWInFbpJolKRw//33A8VuHoUqduvWjVdeeQWA888/HzAhqpIWFPyvOev/s846Cyism3zYYYcBJmUzbI6CY1gHhxpCmzNsx44diyq128HSGV839u6s8agw9O233w6YwPDLL78caE2bss6ta/LMM88AJvhf1l/pSPIxKxRRlf9/9KMfAcZfXa7XrCzPY8eOjcywLS0tnr6sZIW+ffsCeCygYmMKNhD8jKH1VCK4mEyMqkLpuieag53W2KVLlwJpwg+Fb86dO7fsGmpcsso2NDR411WIp+wQshLL8i9pSfPROowcOdJ7TeedOXMmUBwEEgTNdbXVVvOuEwTHsA4OdYA2Z9hFixZ5ESDVQFyGbWpq4pRTTgGMJVl+NvnqxFAq5amdtFyXNulu0gf1W9EyKmyu0pl2mlo5xNVhxfrS6yQN/PznPwdMxJHY02+xDpqXLMkjRowAjK4mdkrTfiWJlGQnIQRZwuVLld65ySabAK36+tSpUwETbim/tKSDJCWLguAY1sGhDtBmDKvGQZ07dy5KWFekUyUQdXf265+yJKo0yL777lvy3NppxUh2RAwYC7OswQoyVzyqLK+K8hJTBel1pRCXYeUTVtsMWWeDYog1B/khc7lcEcso2F6lgOR/VkH1lEH+sRnWtmLbPlTFCet9lehRoQF/MT5b/xbSlJ+14RjWwaEOUPH0OrGNdjAbn332mbdzRWlDUS34Y6S1G2vnlJ9SOqug3VlzlZ921qxZXuqdzqsdXNZKO+ZWsJm1oaEhVpuNKBg8eHDBtT/88EOg1Zrph+Yt1lfEz+9+9zvP5/jiiy8CpsyPoEivMFRiflDMsFpL6dLyaWt95HNX6uSMGTO8AnLS0+3MpCyYNQyOYR0cagiZ67BK8u3Ro0fJ96XTyKfmv769q1UCSfQfsYV0N+3SdqK6rfNttdVW3uvK4BFL2bmyYayifFK/LzSo43hcHdZmiiBLtK2zaY0XLlzovSdf9IUXXhh2WcAwny1xlEMWZX70HbPL22g8urelWDOuhdtfJB3iW/r9cAzr4FBDqJqV+OKLLwbMDqwyK507d86kPEhUpNmdpbNJR1WWjvJiBbGlclr79u3r6fIqKyLLc5SSl3GRtAibXXRNMb3SxbVO+l/W5KFDh3qRWGrTGGYxLdfwKm4rxjhzlGQnPV1QxJOkKa21xtLc3Owxq9ZO2Th2w2YhSWtPIYhhM39gVYtVNVvjIG3XsijIoqat/WXUgmnRbRHIf4+D+qJmiXIPbJTNUaK8gtjt/jdCqflJTNYGpc9muRlnIRIrQUOVDrU56YFVuKG6BvofOhnpbPFda5lRfSonEjs41Dzy+XzgTy6Xyy/bvermpy3meNJJJxW9dvrpp+dPP/30TM5vz8E/vyzn0djYmG9sbCx6feLEiUWvjRo1Kj9q1KiqrGGW987+v1OnTvlOnTrlu3TpUnRM0P2oxBz14xjWwaGG0C4q/1cTtm6w6qqr5sG4m9IgzKVVCpUwuPnn2NLSkodgw0icMSQpuKdgmKCSpUmQhQ4bhN/97ncAnHrqqZE/k8a4FASnwzo41AG+9wybZo4y68tF1V6Q1K1jww4YaWuU6jC/7PXYc6ymKzEJHMM6ONQByjKsg4ND+4JjWAeHGoJ7YB0cagjugXVwqCG4B9bBoYbgHlgHhxqCe2AdHGoI/w95h5eVnhfhQgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 750\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1000\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAOwAAADnCAYAAAAdFLrXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJztnXfYVMX1xz8vVcWGgCKKYMOCgth7SyzYe4mKJSrYFTT2nxojkWhiSWLBWGKJWGLBrlE0KhIRUVQUCyoiIqCirw0U9vcHfnfuzt679d7d9y7n8zw++G65M7Nz75w5Z05pymQyGIaRDlrVuwOGYZSOPbCGkSLsgTWMFGEPrGGkCHtgDSNFtCn0ZlNTU8OZkDOZTFPw70YfY6OPDxaOMQqTsIaRIuyBNYwUYQ+sYaQIe2CNWGlqaqKpKVT9MmLAHljDSBEFrcSGEcbSSy8NwOzZs/PeM9/0ZDEJaxgpoqnQilir8y31QbpPly5dABg8eDAAZ599dpxt1eUM7/LLLwfg9NNPB+DCCy8E3BiXXHLJ2NqqxzmsP4dikUUWAeDHH3+Ms626zKE/Rv/ZiVN3jzqHrfsDm8lksgNv1apV9rVf2gdg3rx5ALRu3TqO9mo+2csuuywzZswAoEOHDgA0NzcDcNVVVwFw2mmn5Xwn6qYohVo/sOPGjWODDTbIeW3+/PmAm1OfqAe8FGo5h3/9618BOPHEEyM/89VXXwHQsWNH9Qdw96vu33IwxwnDaABqZnTypWRQckRJk7QbMDTWGTNm0L59ewBefvllIH83cdJJJwHQps2CKZGEqucRiS8hrrjiCsAZnX744QcANthgAzbddFMAxowZk/Ndfw732muvnL87deoEwBdffBF7/ytB/f3pp58AaNu2bdHvSLLqd4pzR+hjEtYwUkRiOmyUQl6O1Cz2nZau/4ihQ4dyzjnnqH21C+TrN77OV+0YSxnfoosuCjiJKX7++WfASQpJnXbt2gHw5ZdfAtC5c+fsjqBr164ATJ8+XX2J6iPgxqtrzp07t1h3K5pD7Vw0Jr8fQjuhnj17AjBp0qTse1OmTAGc1B0+fDgAAwYMAGDllVfOuZbsFsstt1yx7uVhOqxhNACJS1hfSoZJzVqYyQP9qrmEzWQy2bFMmDABgHXXXVftV3zdlVZaCXArf6C9iqzEb7zxRk7fJI1uv/12APbdd18AllhiCb+97Diky7700ksAjB07FoCNNtoo5zuljPvAAw8E4K677vLbi20Oi92nwc/V8z4VJmENI0UkZiV+9NFHAbcaSbd59tlngfAzKq1UBxxwAOB0KukV0nN8PaSlM3/+/Kw0lPQShxxyCOCkmH4X6YSF8CVrtWy55ZZAvgQ5/PDDAejevTuQP3drrbVW9rOymApfsoqBAwcCcP3110f2x5escaJ7TTqzxhxl2ZVlPPhd6bIffPABAKussgqQfwIQJyZhDSNFJKbDyhVNrmmVeLYsu+yygLO2xUFLSS+i30W7iFmzZgFw0UUXAfC3v/2t4muXq8PqfPWMM84AnOSUznrvvfcCzjvL12HDeOSRRwDYZZddQt+XxPr666+LXssnzjmUrr3ZZpsBsPbaawMwceLEkq9RC/dLYRLWMFJE4r7Eo0ePBmDzzTcH8iXtrrvuml2NhXSpZ555BoDFFlsMiEd3rbeVWHqPzjSFpJakWJXtlSVh1TfZCnxJscwyywDu3LUULr30UgDOPPPMnNdXX311AN5///2Sr+VTizkcOnQoQPb8/Oeff86e5QrZVDSXceqsJmENowFIXMJKKkovWmqppQBYYYUVgPCVNkn/2XpI2E6dOmV1VCHfWVlefS+jaqh1tE6XLl2ydoZp06YB0K1bt9DPaifx7bffVtxeEnO4xhprAM6zSdJ01KhRgNv1ee1W22wkJmENowGI7Rw2Kv7R3/f3798fgAceeCDyu7XwJKklH3zwQVbPUTzsd999l/NvVNxoLVEk0cYbb1zW92bMmJHtf1jamCDVSNY4GD9+PAD9+vXLeT3oMwxuZ6hkCkF23313ID+iqib3qQLIw/4DMtX+56PX27Vrl2nXrl3Oe23atMm0adMm77Nx/pfEGMv9DZIaW9gY47xu9+7dM927d8/+rfk67bTT8uazqakp57+WPoc9evTI9OjRI3J+MplMpnPnzpnOnTsnfr+EjVH/1X9ZNwyjZBIPYI9yqp4zZw6wwBVMBinfMJO2rbE/1vfeey/7ehJuarVGhpc777wTcMc8Sy65ZN74olwri83h5MmTsy5+teTjjz8u+H5TU1NeULvUPak1OuaJGqN+vxdeeKHifpqENYwUUbMkbL6ElTNEly5dsqtblPtiMelUjuRN8ljHdzAI9vuTTz4B3DFOrY4EyhmfDEdR0vGVV14BYMMNNwTcLqldu3Z5u4t99tkHgAcffBCAt956C4BevXoBzsleRqqgc30xkpzDUhItKGBAEjXQr5KuXQp2rGMYDUDN05xGSdFSPvPZZ58BsPzyy1fTfuKOE2GpMTUm/XvllVcCMGTIkLibT9xxQs4RmofgPEmvk76ncLtvvvlGfcv5VxST7kFqMYfqn8IitUMK4qe10d/aeVSzizIJaxgNQM0krFZjScmwpFulWlILrVzFUkxWszpHOe6HtFH0WnKwVwI0/7txrc7ljE9SsFgVAvWtR48eAHz00UfZ9/T7K2xOer0SkSk5m67hO820atUqe42o36AWErYUNFdRTkOF5rDYjsIkrGE0AIlLWO3nFbrlEzyH1aqsAIEkzmFrqf+EoZSYt912W87r1ZR1CGk/Vh12xIgRABx00EFAvmW3c+fOeWfoQjsJzb/vxufvKErZnSQxh8V2NoXO0v3XjzrqKAD69OkD5JdhKbE/JmENI+0kJmH9am2FKFd3VUqOvn37AjBo0CAAjjjiiKJSuBYSVn247LLLAFhxxRU54ogjABdG5/ez1PIOc+bMidytiKStxIVQatK7774bcHq/dlrSZRdffHHAJTDbY489ABg5cmRN5zBqB7jOOusA8Oabb2ZfO/LIIwG46aabivUPcPYZXTsoxcsdozAJaxgpInYJq4D01VZbLfR9tafwpbZt22Yl5LXXXhv6HVkaVdavGuJYnbfddlvApWwV8hV9/vnnc16vtQ90UhLWL91RKCWrzi81d6+99hrgJK6KYMlqXA5xzKGvsyrdrFKr6iQgeJ8WSywX6E+53Qnrn0lYw0g7sUfr+JLVX8l0xud7vgSRtfi4444D8iVrHGeV1eBLVumlWp0VHC2pAtUVaK4XvteSOPbYYwF3hqxolSAzZ84EnIeQxq9r6Ty+nMTpcaAxqT9HH300ADfccAPgErr7ny80b5r/YFKG4HfivE9NwhpGiqi5L7Hv4RL2XtT5a1TJwHJI0kpcqH9RJR2TIG4d9k9/+hPgik6//vrrAGyyySZqo+jOSXP4+9//HoAbb7wRKB6HGkaSc7jddtsBLsVuGCo/okJfgX4ArmTH5MmTK+5HlA5b8wc2DPVB2yhl/E+orbq4tUW5ryVB3A+sVAAZ24JuhLBggTr77LMBl484ya1/veawlqqYGZ0MowFoERK2UqKOVwrRUhzHS+WSSy4B4Nxzzy35O/V0nCiXSnYeaZvDckIHhUlYw2gAUi1hKyFtq3MlpEnCVsLCNodBTMIaRoqwB9aoKYsttlg2AZ9RPvbAGkaKKKjDGobRsjAJaxgpoqDz/8JgfWv0MTb6+CDZMQZT91ST1iYKpYENCXAxK7FhpB07h23wMTb6+AA6deqUASelGsEuYxLWMBoAk7ANPsZGHx/EO0YlTPPLbZQitf1k+dVgEtYwGgB7YI2GoZT0ocWYO3duXvmYTCaTLXAGC8rMqMRmsL3PPvuMzz77jNatWxdNV1sp9sAaRopoETqsH9e63nrrATBs2DAAdtppp9jaqne2gqjYyDizGNRDhy12NpnU+H65dgZcetmtttoqtrZEsEiXUgEpZaukqSSzEs0plWtYge9itNgUMXPnzqVnz56Ay7D3/fffAy5VTJx5kGr5wKr6uLLaR/RH/cj5N6y6X6nU+oEtdA8lkRWxkjnUQqm6Tb6jwsSJEwFYe+21AddvjW3evHnZan077rgjAGeeeSbg5kq5mPUg6z72K7WXghmdDKMBqJuE1Yr73XffseqqqwIuC/wKK6wAwIcffgi4WjrCz9BXDklKWP2W1VSi03GCP+Yy+1ETCVvOFk/j0fiqbDd0DsvZlWi7+sUXXwDQpUsXAF566SXA5dfWGH/66afsZ9577z1gQdW+X9oHYOeddwbgX//6V841JM319/vvv5+V9MrBXWyMwiSsYaSI2DP/CwUpS3f49ttvc97X65lMhs8//zznPR08+1JGxqiNN94YgOHDh8fc63CeeOIJAPbZZx/AZbqPMqxceOGFJV/7+OOPB+Caa64Bwiud1ZtihrIwSRvVb+06dM04x1dIsvrtSg998skncz6nsShtq2jbti0nn3wy4ObfT8f76aefAjBlyhSA7H3doUMHwNWdampqipSsxTAJaxgpom46rFa6efPmZSXXfffd57cfe7tx6rB+TVdfKmoF/vzzz2tynCPqYSV+7LHHAOjfv3/Oey1lDiXRVDVeczV06FAATjzxRACWWGIJXRNwu7zm5uaspBw/fjxA1vaiz0iyylqs+0JVDlQjePr06XTt2rWsMQqTsIaRIhKXsFpJouqAzp49O1uNWyuSrHGzZs1SP4B4wqbilLDdunUDnO7in6Wqv5lMpqikmTZtGgB9+vQB3NgroSWcwyZZla6SOdQ9JltK1L2kXZPsJW+99RawwK5SglTM+VtzLuuwrMtBl8YohxOTsIbRACRmJRaSrFFnp83Nzay44oqAs6JJushjxK9P2lK47rrrALc6RoVXlaLHSVqnFY3x4IMPBmpX7zWMiy++GIDzzz8/+5ruO/XzwAMPBFxNX50P6xxWeukJJ5wAkCNdo3Z8qlAoZE3WtaQfQ37t3VJ3jyZhDSNF1N2XOJPJZPWG2bNnA86DJKH2Yvd00pmzfEfD9JJanqe2BB02yfFWM4fSJ4cMGQLAcccdp2sCror6LrvsAsDhhx8OQO/evXMkdhiqC+x7vOm32G233QB45JFHivbTdFjDaAAS12F9wlZerUTy70wb0lUGDRoEuMiPoOTR/7/wwgtA+SFglZQsTIqrr74acGNJA9IvR4wYAThvuQsuuCDnc9rtyeNMlLJjuOOOOwAYMGAAAPvvvz8AN910EwAPP/wwsMBirXumXEzCGkaKaBE6bKC9nH/79u0LwGuvvRZnexXrP1oV5fEShaKMFOcLLipkv/32A+Dpp58GkvGprZUOqz4Hpb7OO/Vbyf9WUjkOqplD3W8zZswAYIsttgCcFNx6660BFzerc9uwyCudfCgaR9caPXq0+gXkF62eOnUqyyyzDBB9L7XYAPb58+fT3NwMwKmnngrAzTffnFh7SRidimVXyGQyfPzxx0DuQ5wUST2wDz30EAC77767317eZ1ua0WmHHXYA3EIpA5EWUt/QWUn//aMaoQQMOrp77rnnssIoCjM6GUYDUDcJG3SKKHWrGQe1CGAPW53993R8IGd5BV/7311llVUAePTRRwFYc801S+lHTbbEklpPPfVUTcMBK5lDSVRtT3X/yTH/0EMPBZyxqZRxKGBA1/rLX/4CuOM9XcvPoLjGGmvw7rvvFry2SVjDaADqrsO2atUqu+rpEPvaa6/1+wHU3/lfoVly8PCZOXMm4IIXItpXu6GvR1GO5Kq148S8efMiQwyToJI5nDRpEgC9evXKeV0uiffccw/g7j0ZjsLQd7p37w44t8diyQIlzQcNGpSV+FHphEzCGkYDUDcJK5P4OeeckzX5K1AgSeeAWqQ51W+64YYbAjBu3Li8zzz++OOAS9wlh/XzzjsPcPqhgqVlzSyx/ZpI2ODxlewP0t+SJGoOCwWLaE50BKPjJ70uG4Kkp6zGUemAwDn6aMclqVmg38CCIABJY/9eDyR2MAlrGGmnbhJWK9jUqVOzZ1Jvvvkm4FYd3z1s7733BuD++++vuN04JawShD/11FOAS7ql3YNSguy5557Zvm+33XYAPPPMMwWvrd9i3XXXzXvvmGOOAeCGG24I/W6tJKyk6aKLLpo9g/SlTJSuXo2OW2wOw9w4VV1i1KhRodc866yzALj00ktz+ifp+d1332XT7957770A7LvvvjnX8B0kJOl1f+y6667BMeS0U2yM2bGFftowjBZJzZ3/hZJizZw5k3feeQdw7mLLLbcc4FYfha9VI1mTYOTIkYBbLY888sic9//xj38Auedwksorr7wy4PRAn7fffjuy3SjJWmtuueUWYIF1P0qy6nWdJ9finFY7M+mJ7dq1y+qual87nD//+c+Ac8yXxVe7I+nmclUEd4au+dZ3JFmFdOq11lorp+2mpqa8z5aKSVjDSBF1P4fde++9s2dgkkRKtSKJq5WqWJmHn376KfvZKOLQYRWqJR1OjtyydstrJpiIrNQzZOmuCl1TyF4QWTSjUufU+hy2devWRS2kCgII1lkNo5Rg/1LnUOfmzc3N2XtJ/rzSaWWtl34q7yUlEtc1vv7667w51O/v33O6L2TZ13mtfqM2bdrkVcIrNkZhEtYwUkTsErZjx45Afjk/IQ+SzTbbTG1kVy7fyhYs5xEXcUjYqNSUOnd95ZVXcj7fsWPHyN9D/Pjjj0B+Iq9KqFbCFpvDsOikqDmqZyLxoBeRXyhL/ZWEU5K1K664AnAWYN2DPXr04NVXXwWcBJXkFLJLfPTRRznfLZQ8Pup3MwlrGA1A7FZif1VW7KR0MukOOrNUfCLkS9Q4JWs1SEdRMLNWSJ3HCZUZ9CkkXWVB1L+insWw/P76fTnllFMAuOqqq3Leb2kE/XPfeOMNwOmRGovKaihe+aCDDgJg8ODBgCsyPmXKlGwCN1V610mHJKoShet+UftRCeaDlJrS1ySsYaSImlmJ/f28oiamTJmSPS+7++67AZfkOQlq4Uusc7lg4mghvcpf6fWvVu3guV+51MpKLGnQtWvXbPJ3v8xKEpQ6h2E6pC/JovTMbbbZBnBJ4c8999xs6lONUf7IX375JeCs98UykIArBRKV/qjFpYgJbg9aevBzHARN+klT62OdX9pUe7Voq+w5jKo8UQ633XYbAIcddljF1ygVMzoZRgNQd8eJaqgksL1eErZSevfuDbgqaqVQDwlbS2oxh1GB5V676g8Qvb32jytLuZZJWMNoAFItYSshbRK2EhY2CduuXbsMJFPlsBRJmwQmYQ2jAahbeJ1hxEWxI5pqKEeyxpksMAqTsIaRIgrqsIZhtCxMwhpGiiiowy4MFsZGH2Ojjw8WjjEKk7CGkSLsgTWMFGEPrGGkCHtgDSNF2ANrGCnCHljDCKFVq1YVJ/tOkpbXI8MwIinJl7jUBFFhKJ2Gih2HUW62gkUWWQRwqUHTQFRqVFGPZGtx4o9Pyc2UkFvFutNCmD9yPRPjiVSE16m+iWp1lhIQHEUtD91/+9vfAq7GThiqiau8uHHcDLV2nAjeQ/6CpL9VL0nZMqtsr+aOE926dWPatGk5rxW7D6t5wM1xwjAagLqF1/Xv3x+Axx57LPuaqo6pzomyKWpl00p26623Am6F8zMP1gutqBpHIckqJFmFKq7369cv5t5Vj3L2jhgxAggPI/NfS/vWf8CAAYC754JEVaZQ7m2hmlB+veNKMAlrGCkiNh3W111WXXVVAN5//33AZbafNGkSkKvU+ylAo6p2R7UpWrVqVTR4OU79J0p6rLjiioDLGl/ou6rK/eijj4Z+rlr9p5rxqargfvvtl9MXzVew7m0UxYK649DvqhmjqhyoSp3mTEYz1eLp169fNhGer7sWC1HVGGV4u/baa4v2y3RYw2gAypKwF198MQDnn39+9rViOopfS7WcNBr+Z1XbRlXMVQFdGfaDtUWjKrAlIWGjLKPKDN/c3FzT45y4JGyx8QXHst122wEwatSonGvUs3pdWD+U8kXS8bnnngOcrqo6Ob5dZP78+ZE7jMmTJwOuyrzfpk/r1q2z/ZDVXFb0qDEKk7CGkSJiP4etJOWMvxJJl5V1zT/n0uevueYawOkGpazmcUpY9XPs2LFAtGW3lKriqq627rrrVtqdYHuxSFj1eeDAgQBcd911uj7gpFHPnj2L2h1Uo0YV0Kshzhq/PuqfTiaCTjoao18fKQpdQ6ceZfbPJKxhpJ2yJOzll18OwOmnn559zf++zqukE0Sh89fddtutFMsu4HRY6YaSwFoFSyFOCetX9VZF7kLW4VoQl4TVDkKSpBLPnWq80qKoZA7Vd0lQSfyePXsCbrfg32thFQgD7QLRaVVViVAW6HIwCWsYDUBsOuyxxx4LwIQJEwAYM2YMUPoZVRha4YtWpf5l9W5qaqrpOWyBNrL90d/+OJNMOh23L7GfoNsfX9u2bfPmyB9XqWeWpVDNHPoSVTQ3NwOuLGU5pxj+PecXx4qjaJswCWsYKSI2X+Lhw4fn/K1zOZ9y9J+oMgmXXXYZAGeccQYAp556KrBAL5Gfay1Zc801AXjnnXcAF/YXXFHT7FOrvkuSyPop67ys9UG++OILAPbaa6+ca9QbX7KKZZddFijcT50xb7/99kC07ippLeIcu0lYw0gRsemwus7UqVMBZy0+55xzAGfZ1aosi3Oha/loRZP3UqdOnQB3htmnT5+iBZGq0X8UbSHrdBSyHod9LipyI06Jm3Q8rKziSmxQCkmN75drlzxG7dpK8YP22syOwfc/9ok7pjnn2tU+sL4Bwg95C7lmsUvmGTf0EOrH1hbs5JNPLnqtkP7GbnR68sknAdhhhx10TSD3gN0fS5LE/cAqYKNXr15AfrBGIVqKa2IxFOY4evRowLkZqv/9+vXj1VdfVfuAu//uu+8+AD799NNqu5HFjE6G0QDEJmF93n77bcCF1QWumfdZOUBr27zYYotF9QeASy+9FHDbysGDBxfsi9ffxI51opz/v/3227z3tIK/+OKLQPEUMeXk1UpqS6wxyBVzo402KvsaSWwXyxljMZXJd/QI/l2q8ajYGMePH180QYFJWMNoAGI3OolTTjkFcPqmJINWn7CVzr+Gn6BM9O3bF4DXX38955ol9jMxCbv++usDZHUdEQyninLv0+tR71c6xiR3EIWSrylbonZD2jXJKKk51euzZ88upx8Vz6HvThpybV0z5++o1yDfhdP/vNpS26VgEtYwGoCqHSekfwbd1ACGDBkCROtchSSr0CqsIOOnn34acNZY8fjjjwOw8847Z19L0vUvCt+KqGAASZVgv5QmxA8NbAm5b6Pw+xjmbujr2pKwSmCwzDLL5FwzStIlRbH2NMZCgfgffvghACuvvDKQfzrgU45kLYZJWMNIEbHrsHJFe+CBB3SNnPcrkXxR11xvvfUAeO211/L6EbXaJanD+nq5rNjt27fnm2++AdxZps42hX+gX0jC6jNRrptJ6bD+3CnB3mqrrRZsO/S7ctdUKGSh8SlhvBLI+1Qzh+XuYLQz6NChA5tssgkAL730Us5nwtLJhP0dPIMv9z4VJmENI0WUJWErqbET5Qq2++67Ay6RmtcukL9a60xXTvaVkISEjVotO3fuDMCDDz7IFltsATirqFZuf4wK71IAdSU6eNKuiUXaVrs5fwf6E0cbsc+hn0TuggsuAOCiiy4CFtzHUe6MtRijMAlrGCkisWJYUWdPWqXkuD9p0qQ8J2qdaxU7u/TD2jKZTPY1X0cUca7Ofr+ko+j8WCFbwc8WQx4wEydOBPIlcZs2bYqu4PWQsNV6AYWlEy3QVuJJCMI44ogjALj55pvVrt+vgq8Hd6jljlGYhDWMFJFYmtMC1i+/DZZaainAJa0qp6RBBf2LLUWmxuhbNcPGWEwCyUumnJC1Av1LVMJqLME++6VZfFpKeF0J1875W5bhl19+Oe+zUR5OMfXDJKxhpJ3Yy036K+kHH3wAuOJYel9lFcHpm/JsKiZZ6+UN9Pe//z2n3V/96leAs/w++OCDod8rJF2VOFzRTf53WoLHU5Su7sctB5GtokAigZxr1psoS2+hEpHFJGsSYzQJaxgpIjErcTX4q5u8ZKTbStJVkr0hSf1H/VaSar/AETiJqrQ2/nd1djtr1qyK+1ErK3HYveOfv8rv1i8UVWW7sc/hsGHDAJckXz7QSnEUJiWjpPL+++8PuEwUUR5phUgsRUwxlGl9+eWXB2DcuHGAS6uy44471tRRv15HAoUc5hNoq+bHOj/88ANQmuthtSQxh1EOPttssw2wIAAlWGcnaczoZBgNQOwSNkpaynFfLonlZq0LoxKlvl4StlIq2X3U0zWxXKod3y/XaNFjjOM+FSZhDSNF1M3o5DtL1Iq0rc6VkCYJWwkL2xwGMQlrGCmiRR7r+KhGp1+zpBIWttW50ccHLW+MCmxRfaFKMAlrGA1AQQlrGEbLwiSsYaSIgs7/LU03iIOWrv/EQa102KQ91KLKatRyDoNnp0mMM+o3NB3WMBqA2MPrjJaF0tTMmDEj9msnbf+ICs3zSVLSJz3Gcq9vEtYwUkQqzmHjxHTYyqlGkhVLfl5O+/Pnz088RLKSxPdxSnrTYQ2jAbAHdiGhqamp6hjVTCZTMB2M/j8sEmvevHnMmzePtm3bVpxoLqr9OPHb0N9KLBDE/01r0T97YA0jRbQIHVbJrJQ2MknqnXFCK7LGXErxqwraytNhlaJl8uTJFV+3kI7mj6+YLnj44YcD8M9//rPsfkTNoYqIX3XVVSVfqxy9s9y41mrSoNYtRUwxMplMyRnUY2qv5g9s8De+++67ATjggAPUPkC2+kE5lcgLtBer0amSh713794AXHLJJQDsueeegLuJVXFQOa7KoZo5jHLM10Ouh37RRRcFYM6cOcCCbP1aXOXQscceewAuW+Zhhx0GwK233grkV+wrBzM6GUYDUDfHiaDUkanfz4KotDJanX2Jq8RuylJYb1Rd/MsvvwTCt1mSrCKJymfV4rsERknWYEZEjWPmzJmAqwa36667ArDPPvsATtoMHToUcBL3008/BRZkmqzU2aOULagvWfWdwYMHA27lj0etAAAKh0lEQVSsxxxzDAD/+c9/AFfFLogqPqiaY/fu3QG45ZZbAOjRoweQn3ivGsOUSVjDSBGJ6bCqc6oUML5yr1WpkIm/mEGgEmkUpw6rHLaXXXZZaH/KOWz3q3b775dDuTqs9LePPvoIgCuuuAJwerVq1aovmjv926ZNGzbbbDPAVSf3+/3cc88BMHr0aADOOusswOmU2pW0adOmlIz6Zc/hQw89BLi0pSussAIA33zzTejnv/rqKwA6duyYfU3SWOmN1Gehe33EiBEA7LbbbjltBfEdSfx73XRYw2gAEtNhtUL5K4d0CK2spdAS9LowVAtI/YuqiQuw3nrrAc466lNJFYNKCLNGSxKo/pHwLdZKFi4LqnZHY8aM4dxzzwWgb9++AHz88ceA0+NUw/fss88GYMCAAQDce++9AGy//fbZNvT7yTqt+kzV0KtXLwCeffZZwOmfUcgesfjiiwML0hNJGmq3sM466wBu/pXKSHq6JKsqQHz++ecAbLrppowZMyanvVL1WpOwhpEiEtNhtVq/++67gKskrhXLaweALbfcEoDnn38+533pd9InovSOUqhH8HOwqrispldffTUAa6+9NuB0Gv1O1VDtOayS3T399NOAs9JLcmg38Otf/xqAkSNHsvrqqwPR9WH9kwD9HoMGDQJcxcJSdlOVzKF+X/2r89Uo7rrrLgAOOuggAAYOHMj111+f8xntmiS1pdsK6bwak3adksSFMB3WMBqAqiVsVArS1VZbDXArrtrx64YWqk6u16UrxVHpOkkJK+moerGiXbt2Wf3W5+abbwbgyCOPjKsbBSXsY489BkD//v2zr0n6ycop+4LOVPfdd18AXnzxRcDpo9LNll566aJhc9JLd9xxR8BZbXUf6L5o27Zt3rXKTRHTpUuXnP7/8p2ca/hWYO3adLqh18M8z6K8pdRveT716dMHgK233hqA6dOnh44nDJOwhtEAVG0ljkru7UvWnXfeGYg+dyp0TZ33tVRrsZBk9X2h58yZk9d3WVVHjhxZwx7mSlYRVZhMIWUaz1FHHQW4HY/sEf379+fhhx8u2K4szLIeC1+n1VxXQ1CyCumT0l01Bv2rdl999VXA2RZ0brzttttmdVVfsuoaGsvee+8NOD/pSZMmAbDVVlsBMGHChJLT3/iYhDWMFJG4L3GUR0cQvxiwT5gfZ0tGq/i0adOyr7VEn2Ef3xfX7+ONN94IuDktxye2X79+gDuHVljdTjvtlNNmHGVIw9BYFEUkz6wnnngi53N63bc5jBkzJtJXWdLZ/z2mTJkCuB3j8ccfD8AJJ5xgEtYwFgZiO4fdZJNNAPjf//4HwIYbbgjAK6+8kvM5nbHKp3PevHk8+eSTgLMg+nzyyScArLTSSqV2J5JansOWI4GSDmAvBUkCeUNpVySr8Prrrw/AI488AriInDCkz8lyrkgWRVZFnct269YtK92iYoOrmUPNyZtvvgk4yd++fXsg2gOqS5cuebqx4l31XVmaf/e73wEwa9YswOn+m2++ObDgBEWnK/LfDulnfQLYZVz5wx/+kPO6JqyULZC/naqGJB7YKAd+mfcV6Fzou3FS7gPrB2tr63fSSScBcPnll+d8vpI+6zt6IGSokRFKx4ClUO4cNjU1Ze8hGZV03+uhkoFN291y8k5pbPrOuHHjAGdQ/L//+z/A3fNhD7+PHesYRgNQsxQxakehWjoSGDt2LBtttFHB71ay6hXoR2Jb4qj8Rf/+97+zzgd+/iqtujK4xe0cUsr4ZDSRK6IMQXK1k0OF0HZOcwlOQso54M477wTgwAMPBJxk1W8jyapdyRlnnAEscKgo5jZYyRzK2KRjGjlI6ChOhs9Ro0YB4dt9P7BfqpqCQDSnCgqYOHFizvva/vbq1SvveKvYGLN9KPgtwzBaFDWXsL70+f777+nQoUPOa4H2AbeyKfWGQrN8WrduXdRFLkkJ67v9devWDViQ/iQqi2ASlCthZVRaY401ACdtfIcAGQx9qRmUtH4aFD89ipAOJ91Rkm7u3LlFjzwqmUONRQYtOfUr4F5HMNLn9RuEIUmpkMANNtgAcAn2hL+b0o6lubm5qEHSJKxhNAA1T3Oq1TMYsD1kyBAAhg0bBiSTq1fU4linmHQJvtYSrMSSlApA+OMf/wi4AHIf9VlHNVOnTmXq1KmA0w2VVG3NNdcE3JGRggAkdRRuuMUWWwALLKrlSh+NsZC7q0I3ZS+5//77ARfA8N577wHueFJB6oXCHTVGnQao/aOPPhqA3/zmNwDccccdOd9bYoklss9BlCumSVjDaADqlkhc57NKNA35K6Nc+5RmpJQggGKSq5aOEwp4HjZsWDZ9pj9GBUkoADwOyVuuhN1vv/0AuOeee4D8M3JJTTkGlJMtX3qcwtUkaXWNMEt0knMoySbnhvPOOw9wziLSqXU+G5ZS55BDDgHg9ttvB5z+K0u/0rRKL9d39X6wBk+pYxQmYQ0jRdS9VAc4N8axY8eqXSAZh/l6lOro3bt3NlWOrJS1GqM/vrCEA7Jyqi/aGTzzzDMAnHrqqTl9nzBhAuBc7SA/bW2xpN46t1Uy8nKc4YvNYSW1aH27g3RtnQl37do1e8Yc9V0hvVfXUDI2heWV0i+TsIbRANStVEcQSVbhr1jywClGWGGtlsBbb72VN6ZKyzVUO0ZJVulXc+bM4eWXXwbInodLN7vyyisBJ3UUeqZUMcE++V5oKgzlS3S/7yeeeCLgEpm98cYbVfuO+4EFwd/Ml+QqXOX3y/e2mj59enYMcvZXkLs+q9clYfW30ptqZ9KnTx9ef/11wCVyKxWTsIaRImquw4ZZx6QjqUSE/9k4k2zHocMW05HC9NJiErWe4XUhZSIAp49KKsnaKf1UXkHDhg3LlqeQVPST8MVJHHM4fvx4wEWCCemdCp2Tt9r06dOz59LyIfaD3GVN13dVAEwpUwP9NU8nw1gYSFyH1f5dHiVazeVVc9NNN+V9p5i00QonT5ta40tWf9dw7LHHAjB8+PCc94PI/zYqqXQtfI6F5mbgwIGhbcqv1k8yJ71Tha2CFJOser+UONhKrL4+ipZSQjRJVu3eZAFWwgW9rp3DoYcemo34kc+wdh66x7UD0dmtvqvPW7lJw1jIqNs5rDxbtO//pT3ArUA77LAD4IrqxkG9U8Ro5Zb+IwkrvSemditKEaMoI0Ud9ezZE4hOYxKkVO8nFcOSJHvqqadK7V6WcucwGMXlx7QKvS79XHrnf//7X2CBlVvlRHTP+jG++ldWYun4cZRFFXV7YHXQ3r59+2x4l9zzomqkVrOVEPVwnPilXcDV1DnllFOSbKuq2jp+rt5SiGPbWipJzKG25nIh1QOtKnZfffVV9jU91H5wh78YV4MZnQyjAWgRromVcvDBBwMuHUkp1EvC1pJqJayPL3H32msvAB544IGSrxG1S/KNa2FHHsWqk9dqDv3ttF8nSn/77piVGBBNwhpGA5BqCVsJJmHTTy3nsJSUMVGGrGowCWsYDUCLcP43jJZKIckqJFml68tSHqfEFSZhDSNFFNRhDcNoWZiENYwUYQ+sYaQIe2ANI0XYA2sYKcIeWMNIEfbAGkaK+H93nUnj5Uze6wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1250\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1500\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAOwAAADnCAYAAAAdFLrXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAHDJJREFUeJztnXuMHVUdxz93t49td5ddKHS7bmm3ja3FLYJFUAjQVITaiKs8BIUATRriI1hRCWqIBIuY1oRArcZAgFZqohgs8qiNmBYpjZFYLUW0FEKlLdAHrMW2bNu1u+Mfy+/O3Lkz9zlzZs7s75Ns2ntn7nncc898z++c3/mdnOM4KIpiBw1JF0BRlMrRDqsoFqEdVlEsQjusoliEdlhFsYhRpS7mcrnMTSE7jpPzvs56HbNePxgZdRRUYRXFIrTDKopFaIdVFIvQDqsoFqEdVlEsQjusoliEdlhFsYhUdVjHcdDdQyODkdDWcdQxVR02l8uRywWuFysxYqLzJN1B01THiRMn1pxHqjqsoiilKemaaIpjx44B8PnPfx6AdevWJVmcEYeJUU1HRwdAXoFMj6RM5id1PHz4cOD1/fv315y2KqyiWETiCus4Tv7pJ0/hrDE4OEhjY2PSxYiNdevWsWDBgsBrfpvOtjmKG2+8EYD7778/X5eGhkKdC6ujvD9r1iwAXn755brLowqrKBaRKzWrZWrbUlgZ+vv7AWhubo4yr0S2ZoXV8dFHHwXgC1/4QpR5Gd1e5x0led8rhYym9u3bV/C+Nx0ZlQwODvrTNtaGR48eBWDs2LH58gwNDUk5akrTW8c///nPAJx33nkF9+j2OkXJAInbsMuXL8//3z/2j1JZ04K/jtdcc02SxYmEXC5X8eyv/7rYg161Smom2YuUq6mpKf9eteWaOnUqAC+++CIA7e3tNaeVL1dVdyuKkiiptGHjfLKmxYaVOobZaXXmFYsN61eFIJW45JJLAHj66acL7vGUJ4pyxNaGUl5/u5Qqt9i0cs+WLVsAuPTSSwF46623aimH2rCKYjuJK2xQ/llT2La2Nt59992C90zVMQ718StrqbrYqrDbtm0D4LTTTpM8yn7GU54oyqEKqyi2k0qFXbFiBQCLFy+OI79U2LDCKaecAsA777wTZV6xKuzo0aMBOH78eNl7/diisPXUMcwjqspyqMIqiu0ktg77u9/9LvRaHMqaBGVGLwZLEg0PPPAA4KqOt35B66lebKtvUB3L1WHKlCkA7N69O7ZypXJInLVJp6GhIf70pz8BMG/ePMk3tvyiGhKXc73zLu/4l3rKfaYeomxDf3n7+voAmDBhgqSdvy/JOgo6JFYUi0jcNXEkcMUVV7BmzZqki1E1YUrhX97x/9+LuPZJkIK04a9jV1cXAG+88Qbg1qu/vz+0jj/60Y8AuO222+IqZh5VWEWxiMRtWDDr7J30so7pOsZRvyBHgbDfkbjtRbmB30QbVlNH7z0R5q82rKLYTuI2bNq2VcWB4zjMmDEDgCVLlgBw++23J1mkuhg7diwAl19+OVB61tS20DgtLS0ArFq1CoCFCxcC6VmiU4VVFItI3IYdCeuwHR0d7N27t+A9G9Zhy/G///0PgFGjigdqWWnDpJRVbVhFyQCJ2bBZP1cF3Dq2tLTkncll1jQLeJVV1ObOO+9Mqjix4jhOURC2JFCFVRSLSExhg/wyszY7LPUZM2ZM3t7LQh2DQsUcOnQIgNbW1sTKFSX+Or799tu89tprBe/JqEna1gSqsIpiEamyYf/xj38AcPrpp5suTix463juuecmWJLKkB0qsmMljEceeQQoDj5mA37llFCkO3fuLLjv+eefB+DIkSMAjBs3rigtk8oqqMIqikUYX4cdM2YMAAMDA0Cwp1M9oTXKYWINb9GiRQA8+OCDkie/+MUvANdzJk7iWof97Gc/C8CTTz4ZVZI1EUcbym4i+X0mPWrQdVhFyQCJeTp5bQmxBWTWLU6S8JLJ5XL5fZZvvvlmXNl58zV6GJZpomxD/7zJ7NmzAXjppZcAuO666wBYvXp1rVnURJjCJu6aaJqktteZRDts7Yg5lrSDiw6JFSUDJL69Tkk/fieXLG6DlLOA5GygtNZRFVZRLCIVk04mMWnDdnZ2ArBnz564sghEbVj7URtWUTKAzhJnvI5Zrx+MjDoKqrCKYhElFVZRlHShCqsoFlFyHXYk2AZZr2PW6wcjo46CKqyiWIR2WEWxCO2wimIR2mEVxSK0wyqKRWiHVRSL0A6rKBahHTYlDA0NFUQ5cBwn08eZzJw5k5kzZyZdjJpIsm3q3sCe1o2+tnDqqacCxd+fye9T4hBLXOI48P9OXnnllcD7KjnpPGkkBlkS4WRUYRXFIqzaXheFmkfp1nbCCScAcPDgwZrLc/z4caD4pPKo6phUG0oEzMOHDwNuvF/hBz/4AQB33HFH1Wkn5Zro7ytxnmanromKkgESDxHjy6/kPXJdVCno5O8K8o386Rx0El8V5QlMqx7iVlix3R577DEAent7+c53vgPAihUrAHjvvfck/4LP+l/PmTMHgL///e8V55+Ewlbye404P1VYRbGd2BX297//PQALFiyQNIHS58JWq1QtLS2A+1QvRRRP5zPOOAOArVu3VvtRbzkKXsuoIYrTD0zZsEGn8/3lL38puuZFzhZ66KGHALe+Z599NuCeGgfhI5e02LBjx44FXBtW2jCivFRhFcV2YldYf/qLFy8G4J577gGGn1JycpjYpOUU1v/k9Sr0ww8/DMD1118fVp5UbH4Oq6MNNmwQV199NeCeHRtWv02bNgFwwQUXhKY1f/58AP7whz8EXk+iDY8fP56fFS71+4sKVVhFyQCRKaz/qSPra0uXLgXck6ybm5uB8FlELytXrgSKz1RNyzpslflWdF+aFdavKPv37wdg4sSJ+XtklCRn4/pHOq2trYC7PltjOVLRhrK2HMdJ7KqwipIBjNuw1ShIpbZsleVJ5Ok8b948ADZs2FDyvjQrrDjrv/rqqwD09PQA7lmq3muXXXYZ4J6/6ilP3eXQdVhFUawgNoWVdI8ePQpAU1OTpFnxZ0uUq9Zipcb+8RPl0zpuG1Zm4m+44Yb8NbHnXn/9dcA9CMxPlhRW1pCjXH/15KcKqyi2E7nCSnonnXQSAAcOHADc2cFDhw5VnIawb98+ACZNmlRtcYLSNvZ09tbDv3fSfxSlTQob5IFUbk0ySjUy2YYDAwNAsAdaEjZs5Cewh7mTVbLYHPbw6OjoiLKIxpA63nzzzUX19v+bxkAA4nonji3y0AnquHKPmD5+ZOkjTfWrBBnqp2VTvQ6JFcUiIh8Sn3nmmQC88MILgderUdgoHeI9eRgbTgVtTpd6y6Z32QQfJXG7JlajNrL54zOf+UyU+adi0qnOyc+Saeikk6JkgMht2DBlLUXYE7uWDeppIMhe9bviibKW2/w+fvx4APr7+2Mpaz3IBFpjY2O+/Pfeey8wbLdD4Xa5rCBbAeuhVnVWhVUUi0g8CFtvby+PP/444M4kis0qCjs4OBhZfibsn3rsnXrCzXjyN7K9bsqUKcCwisrylLwnIVNNbD2Ls44yMx70G1TXREVRSpK4wg4MDBTNApt8cplQ2GrqE7YuW43imlLY2bNnAzBjxgzWrFkDQHd3NwA7d+6MK9tMzBJXkJ8qrKLYTuJhTkeNGpW3D+II+RmQb+RP5zgc+0WpxJm+yvIYDcLW0NBg1BMoKfdSP6qwiqKUJLGFTu/T6eSTTy5478orr0ykTLUSdihSPU/gWpTVFHv37gXc+i1btozvfve7gKtIc+fOBeDZZ59NoITRUUlYXpOowiqKTTjvn3UZ9Ac4cf/dcsst+f8LceYXZR1bW1ud1tbW/OuhoSFnaGgoX48dO3Y4O3bsqCnt3t5ep7e3t+46VvO5Y8eOOceOHcu/bm9vd9rb24vu89dz9+7d+WtdXV1OV1eXNW1YQV6hmKyj/KnCKopNmFLYbdu2Odu2bQu8dvDgQefgwYNOLpdz3p/xs/LpLDQ0NDgNDQ11pRFVHaOslx9pr2XLlsXaZibbUP42btzobNy40ens7HQ6OztVYRVFqZ7E12FzuVx+v2iUPsMl8k3FUR1x4kS0DuttI3DD/Zx44okF1xsbG2M51LhEuYyvw+ZyuXzw+xkzZgCuz3scXl3+OgrGl3UkIrx3atzvOGFbGJGs4m8H6aj+M2ayjLeOcmpFkuiQWFEsIvYh8UUXXQTA+vXrAVdFPXnUm0VVpHVIHOXoIqohseB3DHnrrbcAmDp1KhDP2TKlSGsbRknYkFgVVlEsIvHtdaYZaU/nrNcPzE06mUQVVlEygJ1RzhTFEGmbCVeFVRSLKGnDKoqSLlRhFcUiStqwOsNoJzpLbD86S6woGUA7rKJYhHZYRbEI7bCKYhHaYRXFIrTDKkoFjBs3LukiANphFcUq1JfYMBJWpNweUonMsWjRotjLFAWTJ08GYPfu3UD6fHDr5ciRI0XviZegBH2X41XirHvdHdbE9qN77rkHgG9+85sF70dxlqpppKPOmjWr4PW//vUvAMaOHQvY01GF6dOnA3D8+HEAVq9eDcB1112XWJm8RPE7lTSWLFlS8L501LD7hSj6iA6JFcUiUr2BXZ5I/oh8P//5zwH42te+VnWaaXNr+9nPfgZAX18fAE8//TQAmzZtqjnNqF0TFy5cCMCqVasCrw8ODubDyAgSRqarq6ve7Isw2YYHDx4EoLW1teY05LOHDx+u+DPqmqgoGSDxuMS+/Ere8+qrrwKuvTRnzhwAXnzxxWryNa6wDQ0NoXF7J06cCLiTUW+++Wbd+Zly/v/GN74BwL333lt0zeTZqXHUcebMmQBs37696Jp/7qSlpQVwFVTCwPrbvBo7WhVWUTKAsWWdZ555BoB58+YVXTv99NMLXoepvkRcF7Zu3VrwOq1LCd4nrQSjvuuuuwD41re+VXRPWpElm1NPPRWAzZs3AzB+/Hj6+/sTK1cclBrphCmliVULVVhFsQhjNqwoSNBTSdbuRo0aFvxyTyh/YGtvmuXshKRmieWJLbOmx44dA2DMmDGAuy4bZDP5ke9Jvjc/pjewe9vLrzJxjHpMtKGU/3vf+x4AS5cu5dZbbwXgxz/+ccE9Usfe3l4AnnjiicDrH/7whwF3zb1M/mrDKortGFNYyUdUUVSy1BNY7vGfaicKU8tpd0kpbJjXi3wft99+OwA//OEPo8jLeIgYk0ewJBFIfNOmTZx//vmSX1WflfursXFVYRUlA8Q+S+x/msh6YyXq6LfRzjzzTMD1PknD8X+V0NTUlHceF19h+R7Gjx8PwMc//vFkClcHUoeBgYGESxIdYep31lln5W3TWtMUhZ0+fTo7duyoKS1VWEWxiNhsWPFGWrduHeB6jsydOxeAjRs3hn623Bi/zh0XidiwsitHbFaxw0844QSA/OneUWDKhpXRwtGjR0OvxaG+cbThtm3bAHe2PsjerPZ3V89MudqwipIBYp8llp0eK1eulDQB9+kzd+7cIrX1l6mtrQ1wbdd6MKmwhw4dAoZ9TSXEyCuvvALAlClTakpz8uTJvPHGGyXvMaWwzz//PADnnHNO0TVbZ4n9qliNwvr9A8qlXaYcgTfF1mH96coEkQz9vF9IpdPdUZ9O/n6aNddRnLzLTaA999xzXH755QC8/fbbgfdUGomiEpJ0nPDkG2d+NbehDH1PO+00SUvSKPjX75TjOE5+4lAmCgPKVfCZcu+XQofEipIBYlvWKfc0kUmXXC4Xeq+oTpgLninCXAHLKasMkXbs2MH+/fuB8O+lGmWNUo3TyL///W8Apk2bFnnaoqyCf3QgyurfslmJOoYpq7if+rfh1YIqrKLYhOM4oX+AE/Wf0N7e7rS3txe8t3btWmft2rX517t27XJ27doVdf6x17Gtrc1pa2vLv7744oud/v5+p7+/v+q0Ro8e7YwePbrmOsZRv7A2dRzHGRwcdAYHB+POr+42FOR1Lpdz3reFA69fddVVNX0fXrZv3+5s3769pjrKnyqsoliE8bjEQbaAzL7Nnz+/4P1alz6SRjZz7927F4COjo6aw32m2U4Ncq/zB2NLG/L7u/rqqwHYs2cPADfeeCMATz31VMH9/s0qQYTNNNfjOBFGur9dRVEKSDzy/4QJE4rOLUlrqJdKkSfr3XffDQxvSq/U6aOpqQkIdvdLG+J+Wm79PI3IGvoHPvABoNjZQa5XUzf/vXH8jlVhFcUiEg9z2tzcnA/1KWFMxW4L8yipM9+avWTC1j97enqAYY8mcF0pK9mkH0Y5N7dSmPJ0KvXbkfL7XVMjyrdkG8rvSda+fZ+tKI9du3YBMHXq1IrTEG+2xx57rKI8SqGeToqSBUyvw/r/enp6nCNHjjhHjhxxWlpanJaWlqI1sCj/4qxjX1+f09fXF1j+7u5up7u7O/bv01/HKNNtaGhwGhoa8q8bGxudxsbGwHXYBQsWOAsWLAhNa/369c769euNtKHjOM7mzZudzZs3h66RhnHgwAHnwIEDzk033VT2Xmn/OH6n8qcKqygWEZkNK+mIvRY229ne3g7Af/7zn/z9JkJjesoZ2W4dfx07OzsB9yAo2QZ333335QOHl/q+feWq6n4vTsw2rAQUlzNhg0hrG1b7fZYKKSshaT/0oQ9JOapKuxT+OgqqsIpiEZGtw/qfLqI6/ifaX//6V8BVpw9+8IP5oNq2rb/6Rw/Lly8H3J0eZ5xxBjBcx0qf7BJaRb6TNCI7Xs4991zAPSLTBq666irA3REkv8cwvMoq9ZYgBEkcr6IKqygWEds6rD8ag98+NWGvBhGlDVuOBx98EIBFixbFlUUgcduwnnwkj7zXk/iD//SnPwXc30HE+UbWhhKe6MILL5S0Jc2Cf2uZS6iHMBvWuOPEKaecAgSHSpEIglHEbgrDZIdNClMdNilGWht60SGxolhE7Ar75S9/GRhe2gB3aOGfmDFFWp/OcuaqLJnUgyqs/ajCKkoGSMz5PylG2tPZ1KSTSUZaG3pRhVUUi0h8A7tiL7Y5umQBVVhFsYiSNqyiKOlCFVZRLKKkDTsSZt+yXses1w9GRh0FVVhFsQjtsIpiEdphFcUitMMqikVoh1UUi9AOqygWoR1WUSxCfYkNcdJJJwHQ19cHZNcPt6OjA3CPyRhJnnRr1qwB3CM74tjNVHeHPXToEACtra11FybLyFmqEg1RGvOLX/wi4J7LIzGNTRJFG0rspgsuuACAGTNmAPDkk08C8NprrwHuWcBC2HlFNvDPf/4TgPfeew+As88+u+B6WEcdNWpUYJzjStAhsaJYROwb2L/yla8AsHPnTgDWrVtXc1qrV68GqPk0c4jGrc0fSe/OO+8E4Pvf/37BfVLXT3/606FpSWR5iS4ZBaZdE6+99tp822zduhWA7u5uAGbOnAm4QfeeeOIJAD73uc9JWavOL0rXxK9//esArFixourPyogkLGhgPUNhdU1UlAwQm8LK+aC33norAEuXLg28r7Gxsay6RGm8m3Ac37dvH+CeU+pFlOYTn/gE4Nq2UWJKYUVVr7322vw5M7/5zW8AuOOOO6QsFaVVTfzfJJz/u7u7ef311wveE7tbRkme8tSdnyqsomSAyBV2YGAAgE9+8pMArF27FnCDhNfy9LFFYf02tkT+37BhA7/85S8L7jV1uluc6vPyyy8D7ultXsrVT042nz17NuCez1PJbHFatteF9R1VWEVRgBhtWEl33LhxQPFJb6WQE8U+9rGP+ctTa3G85Urk6WzybKG4FVaOW5E11ccffzw/omppaQHg8OHDkn9FaY4ZMwYYHqHJ/EfY6XBJteGkSZMA2Lt3r5Qj8L5rrrkGgF/96lehacnpedOmTQu8rgqrKBkgthPY5bU8cWX97aKLLqq4cP6yZUFhPfnGmVcsCitllllwUdqtW7fykY98BHDPX3300UejyraItLRhGGrDKooCxHACu19pxdl9woQJdechM9Bi76QdWYNetmxZ/r133nknqeLUjJwKL/MQ/vmISZMm8cILLwBue1eKrGHW6ls70lCFVRSLiHx7nSjrpZdeClSnrM3NzYA7w+hHdnYIspYnfsppQ/xTvQq7cOHChEpTO7fddhvgjp6WLFkCwF133QUMe3T99re/BeCZZ56pKu0sKWscp837UYVVFIuIfB1WvF9mzZpVe6neR8omNpN4S8n7tTydTc4wen2KTay/ClHPEst+Wfm+P/rRjwLuWuLRo0fz6+21klZf4mp2E0XZpmGzxHV3WBnGyiZeceSXxW85YV1OXJchcqnJiUqdDGr58SexJOD9jk1Emoiqw8pQ+LzzzgPgwgsvBNw2bm9vB4bbvq2tDQh/iIY5Q8gGCYlQUQlJt6GwZcsWAObMmQNEG8xBl3UUJQPUPekkyiqTDfIE9Rvg8oQSR3FRmi1btjB58uSC9wRxBRN1FuQ+W+IiTZs2LT98rHRUIE4Jsh3Pi99FLi5kUknUUUZFEp9K6tDc3JyPZ3TTTTcBxaFu/Moqn61GWZMgSFlledG/6d1EmCRVWEWxiMgmneRJ6d+0LbbNf//7X6A6u7Pc9iW5/sgjjwBuQLMyaVphw8r3+fDDDwNwyy23VJNfpJNOorCiIOLs4J2HkGtixwkyOhLXRam/LNHJFsRqwv6YaENpMxkZdXV15R12TM9DeFGFVRSLiMxxIigcCsC7774LuE+l+fPnA9Wpjmxqlqey2MfyubS6Kt59993AcLmlDt5tZKUI+z6TQOxPGSXJ9+51KxT3Ramn1K+np6fgM9Lucr2egHpxIrPd3u1vF198cVLFyaMKqygWEXvkf796yvYrWb/t7+8P/ay4KMrTWGYn/UHbyqmVKfwq8u1vfxsotOseeOABAK6//nrAfZKLWkl4UAn4VY1DgSmCHFdWrlwJwDnnnAPAfffdB8CXvvSlgs+cfPLJQPo3QUj5ZEa+p6cnHzg8ydUJVVhFsYjYA4kvXrwYgOXLlwPkg5FdeeWVACVd2qL0cPJ8tuYZRr/9KbZ0WJhWKeekSZOK1kyl7PLZKB3HS80Sl7KhOzs7AdizZw9Q/hgN73WxVV966SXArZeEP5XrURDHLLG0R1hYGtOqqrPEipIBYldYoZYQKXKPzE6K83+d5Yj86XzZZZcBblgUUcugozrkWAex4VetWgXAV7/6VcBVMwlwVotTfb3rsGF2c9hm8/PPPz9/mJcfmWXdtWsXEK5g1RBHG8qIw7+FU44e+dSnPmXU7laFVZQMYExh68Fvs/7tb38D4KyzzqolrZqfzn7lCbPxKpnRlbR+8pOfAK6t778uNqccU1kJtSqs3395/PjxgDuTL2U6cOAAED5rD8OeQeCGybn55psrLn856mlDf53Cdob5Wbx4cU0HZtWKKqyiZIBUK6w8yU888UQgms3fcfqhig17xRVXlMofcP1z4yCuMKdTpkwBXI8fmQF+7rnnePbZZwH3UGOx0eMgjjYM6wc33HADAE1NTdx///0VpSXqLWpeY3lUYRXFdlKtsIKs2UYRnDqJ8CJBI4Jya7h15mvkMCyvV9b06dMBeOqppwD3kKsoZoX9RNmGGzZsANzD2379618D7s4vEyF9gogtREyUyDBRwsj4N2+nfUicFkyfwG6akdaGXnRIrCgWkSqFDcOW82HTgipsMsiGDTEV6kEVVlEygBUKGyVpmXSKE1MK+8c//hEwv7E7rQobJaqwipIBVGEzXses1w9GRh0FVVhFsYiSCqsoSrpQhVUUi9AOqygWoR1WUSxCO6yiWIR2WEWxCO2wimIR/wcY+D2sHksVgAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1750\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2000\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2250\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2500\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2750\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3000\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3250\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3500\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3750\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "numIter = 0\n",
    "for img in images:\n",
    "    print(\"Iter: {}\".format(numIter))\n",
    "    show_images(img)\n",
    "    plt.show()\n",
    "    numIter += 250\n",
    "    print()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Please tag the cell below on Gradescope while submitting.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "LSGAN Fianl image:\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(\"LSGAN Fianl image:\")\n",
    "show_images(images[-1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Deeply Convolutional GANs\n",
    "In the first part of the notebook, we implemented an almost direct copy of the original GAN network from Ian Goodfellow. However, this network architecture allows no real spatial reasoning. It is unable to reason about things like \"sharp edges\" in general because it lacks any convolutional layers. Thus, in this section, we will implement some of the ideas from [DCGAN](https://arxiv.org/abs/1511.06434), where we use convolutional networks \n",
    "\n",
    "#### Discriminator\n",
    "We will use a discriminator inspired by the TensorFlow MNIST classification tutorial, which is able to get above 99% accuracy on the MNIST dataset fairly quickly. \n",
    "* Reshape into image tensor (Use Unflatten!)\n",
    "* Conv2D: 32 Filters, 5x5, Stride 1\n",
    "* Leaky ReLU(alpha=0.01)\n",
    "* Max Pool 2x2, Stride 2\n",
    "* Conv2D: 64 Filters, 5x5, Stride 1\n",
    "* Leaky ReLU(alpha=0.01)\n",
    "* Max Pool 2x2, Stride 2\n",
    "* Flatten\n",
    "* Fully Connected with output size 4 x 4 x 64\n",
    "* Leaky ReLU(alpha=0.01)\n",
    "* Fully Connected with output size 1\n",
    "\n",
    "Implement `build_dc_classifier` in `cs231n/gan_pytorch.py`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([128, 1, 28, 28])\n",
      "torch.Size([128, 1])\n"
     ]
    }
   ],
   "source": [
    "from cs231n.gan_pytorch import build_dc_classifier\n",
    "\n",
    "data = next(enumerate(loader_train))[-1][0].type(dtype)\n",
    "b = build_dc_classifier(batch_size).type(dtype)\n",
    "print(data.shape)\n",
    "out = b(data)\n",
    "print(out.size())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check the number of parameters in your classifier as a sanity check:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correct number of parameters in generator.\n"
     ]
    }
   ],
   "source": [
    "def test_dc_classifer(true_count=1102721):\n",
    "    model = build_dc_classifier(batch_size)\n",
    "    cur_count = count_params(model)\n",
    "    if cur_count != true_count:\n",
    "        print('Incorrect number of parameters in generator. Check your achitecture.')\n",
    "    else:\n",
    "        print('Correct number of parameters in generator.')\n",
    "\n",
    "test_dc_classifer()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Generator\n",
    "For the generator, we will copy the architecture exactly from the [InfoGAN paper](https://arxiv.org/pdf/1606.03657.pdf). See Appendix C.1 MNIST. See the documentation for [tf.nn.conv2d_transpose](https://www.tensorflow.org/api_docs/python/tf/nn/conv2d_transpose). We are always \"training\" in GAN mode. \n",
    "* Fully connected with output size 1024\n",
    "* `ReLU`\n",
    "* BatchNorm\n",
    "* Fully connected with output size 7 x 7 x 128 \n",
    "* ReLU\n",
    "* BatchNorm\n",
    "* Reshape into Image Tensor of shape 7, 7, 128\n",
    "* Conv2D^T (Transpose): 64 filters of 4x4, stride 2, 'same' padding (use `padding=1`)\n",
    "* `ReLU`\n",
    "* BatchNorm\n",
    "* Conv2D^T (Transpose): 1 filter of 4x4, stride 2, 'same' padding (use `padding=1`)\n",
    "* `TanH`\n",
    "* Should have a 28x28x1 image, reshape back into 784 vector\n",
    "\n",
    "Implement `build_dc_generator` in `cs231n/gan_pytorch.py`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([128, 1, 16, 16])"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from cs231n.gan_pytorch import build_dc_generator\n",
    "\n",
    "test_g_gan = build_dc_generator().type(dtype)\n",
    "test_g_gan.apply(initialize_weights)\n",
    "\n",
    "fake_seed = torch.randn(batch_size, NOISE_DIM).type(dtype)\n",
    "fake_images = test_g_gan.forward(fake_seed)\n",
    "fake_images.size()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check the number of parameters in your generator as a sanity check:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correct number of parameters in generator.\n"
     ]
    }
   ],
   "source": [
    "def test_dc_generator(true_count=6580801):\n",
    "    model = build_dc_generator(4)\n",
    "    cur_count = count_params(model)\n",
    "    if cur_count != true_count:\n",
    "        print('Incorrect number of parameters in generator. Check your achitecture.')\n",
    "    else:\n",
    "        print('Correct number of parameters in generator.')\n",
    "\n",
    "test_dc_generator()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "ename": "RuntimeError",
     "evalue": "shape '[128, 1, 784]' is invalid for input of size 32768",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mRuntimeError\u001b[0m                              Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-79-24ca441b3144>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m      7\u001b[0m \u001b[0mG_DC_solver\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mget_optimizer\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mG_DC\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      8\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 9\u001b[1;33m \u001b[0mimages\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mrun_a_gan\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mD_DC\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mG_DC\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mD_DC_solver\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mG_DC_solver\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdiscriminator_loss\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mgenerator_loss\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mloader_train\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mnum_epochs\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m5\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;32mE:\\internship\\code\\cs231n\\assignment3_jupyter\\assignment3\\cs231n\\gan_pytorch.py\u001b[0m in \u001b[0;36mrun_a_gan\u001b[1;34m(D, G, D_solver, G_solver, discriminator_loss, generator_loss, loader_train, show_every, batch_size, noise_size, num_epochs)\u001b[0m\n\u001b[0;32m    344\u001b[0m             \u001b[0mg_fake_seed\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0msample_noise\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mbatch_size\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mnoise_size\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtype\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mdtype\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    345\u001b[0m             \u001b[0mfake_images\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mG\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mg_fake_seed\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mdetach\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 346\u001b[1;33m             \u001b[0mlogits_fake\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mD\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mfake_images\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mview\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mbatch_size\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m1\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m28\u001b[0m\u001b[1;33m*\u001b[0m\u001b[1;36m28\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    347\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    348\u001b[0m             \u001b[0md_total_error\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mdiscriminator_loss\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mlogits_real\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mlogits_fake\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mRuntimeError\u001b[0m: shape '[128, 1, 784]' is invalid for input of size 32768"
     ]
    }
   ],
   "source": [
    "D_DC = build_dc_classifier(batch_size).type(dtype) \n",
    "D_DC.apply(initialize_weights)\n",
    "G_DC = build_dc_generator().type(dtype)\n",
    "G_DC.apply(initialize_weights)\n",
    "\n",
    "D_DC_solver = get_optimizer(D_DC)\n",
    "G_DC_solver = get_optimizer(G_DC)\n",
    "\n",
    "images = run_a_gan(D_DC, G_DC, D_DC_solver, G_DC_solver, discriminator_loss, generator_loss, loader_train, num_epochs=5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Run the cell below to show generated images."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "numIter = 0\n",
    "for img in images:\n",
    "    print(\"Iter: {}\".format(numIter))\n",
    "    show_images(img)\n",
    "    plt.show()\n",
    "    numIter += 250\n",
    "    print()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Please tag the cell below on Gradescope while submitting.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "print(\"DCGAN Fianl image:\")\n",
    "show_images(images[-1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "pdf-inline"
    ]
   },
   "source": [
    "## INLINE QUESTION 1\n",
    "\n",
    "We will look at an example to see why alternating minimization of the same objective (like in a GAN) can be tricky business.\n",
    "\n",
    "Consider $f(x,y)=xy$. What does $\\min_x\\max_y f(x,y)$ evaluate to? (Hint: minmax tries to minimize the maximum value achievable.)\n",
    "\n",
    "Now try to evaluate this function numerically for 6 steps, starting at the point $(1,1)$, \n",
    "by using alternating gradient (first updating y, then updating x using that updated y) with step size $1$. **Here step size is the learning_rate, and steps will be learning_rate * gradient.**\n",
    "You'll find that writing out the update step in terms of $x_t,y_t,x_{t+1},y_{t+1}$ will be useful.\n",
    "\n",
    "Breifly explain what $\\min_x\\max_y f(x,y)$ evaluates to and record the six pairs of explicit values for $(x_t,y_t)$ in the table below.\n",
    "\n",
    "### Your answer:\n",
    "\n",
    " \n",
    " $y_0$ | $y_1$ | $y_2$ | $y_3$ | $y_4$ | $y_5$ | $y_6$ \n",
    " ----- | ----- | ----- | ----- | ----- | ----- | ----- \n",
    "   1   |       |       |       |       |       |       \n",
    " $x_0$ | $x_1$ | $x_2$ | $x_3$ | $x_4$ | $x_5$ | $x_6$ \n",
    "   1   |       |       |       |       |       |       \n",
    "   \n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "pdf-inline"
    ]
   },
   "source": [
    "## INLINE QUESTION 2\n",
    "Using this method, will we ever reach the optimal value? Why or why not?\n",
    "\n",
    "### Your answer: \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "pdf-inline"
    ]
   },
   "source": [
    "## INLINE QUESTION 3\n",
    "If the generator loss decreases during training while the discriminator loss stays at a constant high value from the start, is this a good sign? Why or why not? A qualitative answer is sufficient.\n",
    "\n",
    "### Your answer: \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "tags": [
     "pdf-inline"
    ]
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "celltoolbar": "Edit Metadata",
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.10"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
